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Finding the Fourth Proportional to 128,245.79, 176,978.81 and 71,657.21

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Solution

The fourth proportional to 128,245.79, 176,978.81 and 71,657.21 is: 98,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,245.79 : 176,978.81 = 71,657.21 : x
  2. Step 2: Convert to fraction form
    128,245.79/176,978.81 = 71,657.21/x
  3. Step 3: Cross multiply
    128,245.79x = 176,978.81 × 71,657.21
  4. Step 4: Simplify right side
    128,245.79x = 12,681,807,047.97
  5. Step 5: Solve for x
    x = 12,681,807,047.97/128,245.79
  6. Step 6: Final answer
    x = 98,886.74

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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.