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Finding the Fourth Proportional to 102,462.53, 153,640.60 and 39,263.90

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Solution

The fourth proportional to 102,462.53, 153,640.60 and 39,263.90 is: 58,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,462.53 : 153,640.60 = 39,263.90 : x
  2. Step 2: Convert to fraction form
    102,462.53/153,640.60 = 39,263.90/x
  3. Step 3: Cross multiply
    102,462.53x = 153,640.60 × 39,263.90
  4. Step 4: Simplify right side
    102,462.53x = 6,032,528,287.98
  5. Step 5: Solve for x
    x = 6,032,528,287.98/102,462.53
  6. Step 6: Final answer
    x = 58,875.46

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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.