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Finding the Fourth Proportional to 172,977.12, 238,708.32 and 93,489.12

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Solution

The fourth proportional to 172,977.12, 238,708.32 and 93,489.12 is: 129,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,977.12 : 238,708.32 = 93,489.12 : x
  2. Step 2: Convert to fraction form
    172,977.12/238,708.32 = 93,489.12/x
  3. Step 3: Cross multiply
    172,977.12x = 238,708.32 × 93,489.12
  4. Step 4: Simplify right side
    172,977.12x = 22,316,630,773.48
  5. Step 5: Solve for x
    x = 22,316,630,773.48/172,977.12
  6. Step 6: Final answer
    x = 129,014.93

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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.