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Finding the Fourth Proportional to 153,813.82, 212,254.93 and 86,741.50

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Solution

The fourth proportional to 153,813.82, 212,254.93 and 86,741.50 is: 119,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,813.82 : 212,254.93 = 86,741.50 : x
  2. Step 2: Convert to fraction form
    153,813.82/212,254.93 = 86,741.50/x
  3. Step 3: Cross multiply
    153,813.82x = 212,254.93 × 86,741.50
  4. Step 4: Simplify right side
    153,813.82x = 18,411,311,010.60
  5. Step 5: Solve for x
    x = 18,411,311,010.60/153,813.82
  6. Step 6: Final answer
    x = 119,698.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.