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Finding the Fourth Proportional to 242,568.50, 363,891.62 and 102,347.78

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Solution

The fourth proportional to 242,568.50, 363,891.62 and 102,347.78 is: 153,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.50 : 363,891.62 = 102,347.78 : x
  2. Step 2: Convert to fraction form
    242,568.50/363,891.62 = 102,347.78/x
  3. Step 3: Cross multiply
    242,568.50x = 363,891.62 × 102,347.78
  4. Step 4: Simplify right side
    242,568.50x = 37,243,497,904.01
  5. Step 5: Solve for x
    x = 37,243,497,904.01/242,568.50
  6. Step 6: Final answer
    x = 153,538.07

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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.