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Finding the Fourth Proportional to 542,122.08, 813,223.02 and 142,760.04

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Solution

The fourth proportional to 542,122.08, 813,223.02 and 142,760.04 is: 214,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,122.08 : 813,223.02 = 142,760.04 : x
  2. Step 2: Convert to fraction form
    542,122.08/813,223.02 = 142,760.04/x
  3. Step 3: Cross multiply
    542,122.08x = 813,223.02 × 142,760.04
  4. Step 4: Simplify right side
    542,122.08x = 116,095,750,864.12
  5. Step 5: Solve for x
    x = 116,095,750,864.12/542,122.08
  6. Step 6: Final answer
    x = 214,150.57

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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.