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Finding the Fourth Proportional to 234,572.72, 323,710.92 and 127,142.64

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Solution

The fourth proportional to 234,572.72, 323,710.92 and 127,142.64 is: 175,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,572.72 : 323,710.92 = 127,142.64 : x
  2. Step 2: Convert to fraction form
    234,572.72/323,710.92 = 127,142.64/x
  3. Step 3: Cross multiply
    234,572.72x = 323,710.92 × 127,142.64
  4. Step 4: Simplify right side
    234,572.72x = 41,157,460,965.63
  5. Step 5: Solve for x
    x = 41,157,460,965.63/234,572.72
  6. Step 6: Final answer
    x = 175,457.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.