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Finding the Fourth Proportional to 42,186.32, 63,283.80 and 15,913.16

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Solution

The fourth proportional to 42,186.32, 63,283.80 and 15,913.16 is: 23,871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,186.32 : 63,283.80 = 15,913.16 : x
  2. Step 2: Convert to fraction form
    42,186.32/63,283.80 = 15,913.16/x
  3. Step 3: Cross multiply
    42,186.32x = 63,283.80 × 15,913.16
  4. Step 4: Simplify right side
    42,186.32x = 1,007,045,234.81
  5. Step 5: Solve for x
    x = 1,007,045,234.81/42,186.32
  6. Step 6: Final answer
    x = 23,871.37

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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.