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Finding the Fourth Proportional to 129,570, 194,041.53 and 62,844.90

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Solution

The fourth proportional to 129,570, 194,041.53 and 62,844.90 is: 94,115.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,570 : 194,041.53 = 62,844.90 : x
  2. Step 2: Convert to fraction form
    129,570/194,041.53 = 62,844.90/x
  3. Step 3: Cross multiply
    129,570x = 194,041.53 × 62,844.90
  4. Step 4: Simplify right side
    129,570x = 12,194,520,548.70
  5. Step 5: Solve for x
    x = 12,194,520,548.70/129,570
  6. Step 6: Final answer
    x = 94,115.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.