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Finding the Fourth Proportional to 242,718.80, 363,948.60 and 102,318.80

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Solution

The fourth proportional to 242,718.80, 363,948.60 and 102,318.80 is: 153,423.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,718.80 : 363,948.60 = 102,318.80 : x
  2. Step 2: Convert to fraction form
    242,718.80/363,948.60 = 102,318.80/x
  3. Step 3: Cross multiply
    242,718.80x = 363,948.60 × 102,318.80
  4. Step 4: Simplify right side
    242,718.80x = 37,238,784,013.68
  5. Step 5: Solve for x
    x = 37,238,784,013.68/242,718.80
  6. Step 6: Final answer
    x = 153,423.57

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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.