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Finding the Fourth Proportional to 65,385.32, 98,068.65 and 21,006.32

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Solution

The fourth proportional to 65,385.32, 98,068.65 and 21,006.32 is: 31,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,385.32 : 98,068.65 = 21,006.32 : x
  2. Step 2: Convert to fraction form
    65,385.32/98,068.65 = 21,006.32/x
  3. Step 3: Cross multiply
    65,385.32x = 98,068.65 × 21,006.32
  4. Step 4: Simplify right side
    65,385.32x = 2,060,060,953.52
  5. Step 5: Solve for x
    x = 2,060,060,953.52/65,385.32
  6. Step 6: Final answer
    x = 31,506.48

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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.