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Finding the Fourth Proportional to 234,563, 323,695.12 and 127,130.28

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Solution

The fourth proportional to 234,563, 323,695.12 and 127,130.28 is: 175,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,563 : 323,695.12 = 127,130.28 : x
  2. Step 2: Convert to fraction form
    234,563/323,695.12 = 127,130.28/x
  3. Step 3: Cross multiply
    234,563x = 323,695.12 × 127,130.28
  4. Step 4: Simplify right side
    234,563x = 41,151,451,240.23
  5. Step 5: Solve for x
    x = 41,151,451,240.23/234,563
  6. Step 6: Final answer
    x = 175,438.80

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1.5x scale

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.