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Finding the Fourth Proportional to 542,079.79, 813,045.87 and 142,687.12

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Solution

The fourth proportional to 542,079.79, 813,045.87 and 142,687.12 is: 214,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,079.79 : 813,045.87 = 142,687.12 : x
  2. Step 2: Convert to fraction form
    542,079.79/813,045.87 = 142,687.12/x
  3. Step 3: Cross multiply
    542,079.79x = 813,045.87 × 142,687.12
  4. Step 4: Simplify right side
    542,079.79x = 116,011,173,618.19
  5. Step 5: Solve for x
    x = 116,011,173,618.19/542,079.79
  6. Step 6: Final answer
    x = 214,011.25

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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.