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Finding the Fourth Proportional to 128,298.67, 177,057.57 and 71,710

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Solution

The fourth proportional to 128,298.67, 177,057.57 and 71,710 is: 98,962.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,298.67 : 177,057.57 = 71,710 : x
  2. Step 2: Convert to fraction form
    128,298.67/177,057.57 = 71,710/x
  3. Step 3: Cross multiply
    128,298.67x = 177,057.57 × 71,710
  4. Step 4: Simplify right side
    128,298.67x = 12,696,798,344.70
  5. Step 5: Solve for x
    x = 12,696,798,344.70/128,298.67
  6. Step 6: Final answer
    x = 98,962.82

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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.