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Finding the Fourth Proportional to 40,102, 60,156.42 and 10,519.72

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Solution

The fourth proportional to 40,102, 60,156.42 and 10,519.72 is: 15,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,102 : 60,156.42 = 10,519.72 : x
  2. Step 2: Convert to fraction form
    40,102/60,156.42 = 10,519.72/x
  3. Step 3: Cross multiply
    40,102x = 60,156.42 × 10,519.72
  4. Step 4: Simplify right side
    40,102x = 632,828,694.60
  5. Step 5: Solve for x
    x = 632,828,694.60/40,102
  6. Step 6: Final answer
    x = 15,780.48

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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.