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Finding the Fourth Proportional to 234,538.50, 351,807.75 and 103,210.50

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Solution

The fourth proportional to 234,538.50, 351,807.75 and 103,210.50 is: 154,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,538.50 : 351,807.75 = 103,210.50 : x
  2. Step 2: Convert to fraction form
    234,538.50/351,807.75 = 103,210.50/x
  3. Step 3: Cross multiply
    234,538.50x = 351,807.75 × 103,210.50
  4. Step 4: Simplify right side
    234,538.50x = 36,310,253,781.38
  5. Step 5: Solve for x
    x = 36,310,253,781.38/234,538.50
  6. Step 6: Final answer
    x = 154,815.75

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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.