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Finding the Fourth Proportional to 128,776.64, 177,722.52 and 71,433.95

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Solution

The fourth proportional to 128,776.64, 177,722.52 and 71,433.95 is: 98,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,776.64 : 177,722.52 = 71,433.95 : x
  2. Step 2: Convert to fraction form
    128,776.64/177,722.52 = 71,433.95/x
  3. Step 3: Cross multiply
    128,776.64x = 177,722.52 × 71,433.95
  4. Step 4: Simplify right side
    128,776.64x = 12,695,421,607.55
  5. Step 5: Solve for x
    x = 12,695,421,607.55/128,776.64
  6. Step 6: Final answer
    x = 98,584.82

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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.