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Finding the Fourth Proportional to 60,099.42, 90,142.23 and 15,730.47

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Solution

The fourth proportional to 60,099.42, 90,142.23 and 15,730.47 is: 23,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,099.42 : 90,142.23 = 15,730.47 : x
  2. Step 2: Convert to fraction form
    60,099.42/90,142.23 = 15,730.47/x
  3. Step 3: Cross multiply
    60,099.42x = 90,142.23 × 15,730.47
  4. Step 4: Simplify right side
    60,099.42x = 1,417,979,644.75
  5. Step 5: Solve for x
    x = 1,417,979,644.75/60,099.42
  6. Step 6: Final answer
    x = 23,593.90

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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.