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Finding the Fourth Proportional to 101,431.64, 152,161.30 and 42,253.47

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Solution

The fourth proportional to 101,431.64, 152,161.30 and 42,253.47 is: 63,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,431.64 : 152,161.30 = 42,253.47 : x
  2. Step 2: Convert to fraction form
    101,431.64/152,161.30 = 42,253.47/x
  3. Step 3: Cross multiply
    101,431.64x = 152,161.30 × 42,253.47
  4. Step 4: Simplify right side
    101,431.64x = 6,429,342,924.71
  5. Step 5: Solve for x
    x = 6,429,342,924.71/101,431.64
  6. Step 6: Final answer
    x = 63,385.97

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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.