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Finding the Fourth Proportional to 89,670, 123,778.44 and 70,499.76

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Solution

The fourth proportional to 89,670, 123,778.44 and 70,499.76 is: 97,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,670 : 123,778.44 = 70,499.76 : x
  2. Step 2: Convert to fraction form
    89,670/123,778.44 = 70,499.76/x
  3. Step 3: Cross multiply
    89,670x = 123,778.44 × 70,499.76
  4. Step 4: Simplify right side
    89,670x = 8,726,350,313.17
  5. Step 5: Solve for x
    x = 8,726,350,313.17/89,670
  6. Step 6: Final answer
    x = 97,316.27

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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.