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Finding the Fourth Proportional to 129,407.63, 178,635.98 and 85,798.85

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Solution

The fourth proportional to 129,407.63, 178,635.98 and 85,798.85 is: 118,437.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,407.63 : 178,635.98 = 85,798.85 : x
  2. Step 2: Convert to fraction form
    129,407.63/178,635.98 = 85,798.85/x
  3. Step 3: Cross multiply
    129,407.63x = 178,635.98 × 85,798.85
  4. Step 4: Simplify right side
    129,407.63x = 15,326,760,973.94
  5. Step 5: Solve for x
    x = 15,326,760,973.94/129,407.63
  6. Step 6: Final answer
    x = 118,437.85

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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.