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Finding the Fourth Proportional to 129,009.66, 178,032.63 and 72,421.02

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Solution

The fourth proportional to 129,009.66, 178,032.63 and 72,421.02 is: 99,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,009.66 : 178,032.63 = 72,421.02 : x
  2. Step 2: Convert to fraction form
    129,009.66/178,032.63 = 72,421.02/x
  3. Step 3: Cross multiply
    129,009.66x = 178,032.63 × 72,421.02
  4. Step 4: Simplify right side
    129,009.66x = 12,893,304,657.88
  5. Step 5: Solve for x
    x = 12,893,304,657.88/129,009.66
  6. Step 6: Final answer
    x = 99,940.61

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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.