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Finding the Fourth Proportional to 172,909.64, 238,614.84 and 96,428.83

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Solution

The fourth proportional to 172,909.64, 238,614.84 and 96,428.83 is: 133,071.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,909.64 : 238,614.84 = 96,428.83 : x
  2. Step 2: Convert to fraction form
    172,909.64/238,614.84 = 96,428.83/x
  3. Step 3: Cross multiply
    172,909.64x = 238,614.84 × 96,428.83
  4. Step 4: Simplify right side
    172,909.64x = 23,009,349,606.91
  5. Step 5: Solve for x
    x = 23,009,349,606.91/172,909.64
  6. Step 6: Final answer
    x = 133,071.52

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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.