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Finding the Fourth Proportional to 159,534.94, 220,147.80 and 87,914.95

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Solution

The fourth proportional to 159,534.94, 220,147.80 and 87,914.95 is: 121,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,534.94 : 220,147.80 = 87,914.95 : x
  2. Step 2: Convert to fraction form
    159,534.94/220,147.80 = 87,914.95/x
  3. Step 3: Cross multiply
    159,534.94x = 220,147.80 × 87,914.95
  4. Step 4: Simplify right side
    159,534.94x = 19,354,282,829.61
  5. Step 5: Solve for x
    x = 19,354,282,829.61/159,534.94
  6. Step 6: Final answer
    x = 121,316.89

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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.