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Finding the Fourth Proportional to 87,712, 121,042.56 and 47,968

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Solution

The fourth proportional to 87,712, 121,042.56 and 47,968 is: 66,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,712 : 121,042.56 = 47,968 : x
  2. Step 2: Convert to fraction form
    87,712/121,042.56 = 47,968/x
  3. Step 3: Cross multiply
    87,712x = 121,042.56 × 47,968
  4. Step 4: Simplify right side
    87,712x = 5,806,169,518.08
  5. Step 5: Solve for x
    x = 5,806,169,518.08/87,712
  6. Step 6: Final answer
    x = 66,195.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.