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Finding the Fourth Proportional to 153,761.76, 230,564.88 and 78,865.92

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Solution

The fourth proportional to 153,761.76, 230,564.88 and 78,865.92 is: 118,259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,761.76 : 230,564.88 = 78,865.92 : x
  2. Step 2: Convert to fraction form
    153,761.76/230,564.88 = 78,865.92/x
  3. Step 3: Cross multiply
    153,761.76x = 230,564.88 × 78,865.92
  4. Step 4: Simplify right side
    153,761.76x = 18,183,711,380.89
  5. Step 5: Solve for x
    x = 18,183,711,380.89/153,761.76
  6. Step 6: Final answer
    x = 118,259.00

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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.