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Finding the Fourth Proportional to 129,710.58, 178,973.25 and 78,750.11

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Solution

The fourth proportional to 129,710.58, 178,973.25 and 78,750.11 is: 108,658.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,710.58 : 178,973.25 = 78,750.11 : x
  2. Step 2: Convert to fraction form
    129,710.58/178,973.25 = 78,750.11/x
  3. Step 3: Cross multiply
    129,710.58x = 178,973.25 × 78,750.11
  4. Step 4: Simplify right side
    129,710.58x = 14,094,162,229.69
  5. Step 5: Solve for x
    x = 14,094,162,229.69/129,710.58
  6. Step 6: Final answer
    x = 108,658.54

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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.