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Finding the Fourth Proportional to 99,853,297.60, 149,779,946.40 and 81,713,444.80

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Solution

The fourth proportional to 99,853,297.60, 149,779,946.40 and 81,713,444.80 is: 122,570,167.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,853,297.60 : 149,779,946.40 = 81,713,444.80 : x
  2. Step 2: Convert to fraction form
    99,853,297.60/149,779,946.40 = 81,713,444.80/x
  3. Step 3: Cross multiply
    99,853,297.60x = 149,779,946.40 × 81,713,444.80
  4. Step 4: Simplify right side
    99,853,297.60x = 12,239,035,382,303,358
  5. Step 5: Solve for x
    x = 12,239,035,382,303,358/99,853,297.60
  6. Step 6: Final answer
    x = 122,570,167.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.