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Finding the Fourth Proportional to 102,531.94, 153,866.25 and 39,404.18

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Solution

The fourth proportional to 102,531.94, 153,866.25 and 39,404.18 is: 59,132.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,531.94 : 153,866.25 = 39,404.18 : x
  2. Step 2: Convert to fraction form
    102,531.94/153,866.25 = 39,404.18/x
  3. Step 3: Cross multiply
    102,531.94x = 153,866.25 × 39,404.18
  4. Step 4: Simplify right side
    102,531.94x = 6,062,973,795.59
  5. Step 5: Solve for x
    x = 6,062,973,795.59/102,531.94
  6. Step 6: Final answer
    x = 59,132.54

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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.