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Finding the Fourth Proportional to 159,437.84, 220,023.95 and 87,822.70

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Solution

The fourth proportional to 159,437.84, 220,023.95 and 87,822.70 is: 121,195.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,437.84 : 220,023.95 = 87,822.70 : x
  2. Step 2: Convert to fraction form
    159,437.84/220,023.95 = 87,822.70/x
  3. Step 3: Cross multiply
    159,437.84x = 220,023.95 × 87,822.70
  4. Step 4: Simplify right side
    159,437.84x = 19,323,096,364.49
  5. Step 5: Solve for x
    x = 19,323,096,364.49/159,437.84
  6. Step 6: Final answer
    x = 121,195.18

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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.