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Finding the Fourth Proportional to 42,476.98, 63,733.02 and 21,405.76

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Solution

The fourth proportional to 42,476.98, 63,733.02 and 21,405.76 is: 32,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,476.98 : 63,733.02 = 21,405.76 : x
  2. Step 2: Convert to fraction form
    42,476.98/63,733.02 = 21,405.76/x
  3. Step 3: Cross multiply
    42,476.98x = 63,733.02 × 21,405.76
  4. Step 4: Simplify right side
    42,476.98x = 1,364,253,730.20
  5. Step 5: Solve for x
    x = 1,364,253,730.20/42,476.98
  6. Step 6: Final answer
    x = 32,117.48

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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.