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Finding the Fourth Proportional to 81,024.90, 121,646.70 and 64,403.70

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Solution

The fourth proportional to 81,024.90, 121,646.70 and 64,403.70 is: 96,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,024.90 : 121,646.70 = 64,403.70 : x
  2. Step 2: Convert to fraction form
    81,024.90/121,646.70 = 64,403.70/x
  3. Step 3: Cross multiply
    81,024.90x = 121,646.70 × 64,403.70
  4. Step 4: Simplify right side
    81,024.90x = 7,834,497,572.79
  5. Step 5: Solve for x
    x = 7,834,497,572.79/81,024.90
  6. Step 6: Final answer
    x = 96,692.47

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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.