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Finding the Fourth Proportional to 99,809.10, 149,713.65 and 40,687.20

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Solution

The fourth proportional to 99,809.10, 149,713.65 and 40,687.20 is: 61,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.10 : 149,713.65 = 40,687.20 : x
  2. Step 2: Convert to fraction form
    99,809.10/149,713.65 = 40,687.20/x
  3. Step 3: Cross multiply
    99,809.10x = 149,713.65 × 40,687.20
  4. Step 4: Simplify right side
    99,809.10x = 6,091,429,220.28
  5. Step 5: Solve for x
    x = 6,091,429,220.28/99,809.10
  6. Step 6: Final answer
    x = 61,030.80

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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.