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Finding the Fourth Proportional to 157,099.44, 216,800.91 and 89,121

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Solution

The fourth proportional to 157,099.44, 216,800.91 and 89,121 is: 122,989.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,099.44 : 216,800.91 = 89,121 : x
  2. Step 2: Convert to fraction form
    157,099.44/216,800.91 = 89,121/x
  3. Step 3: Cross multiply
    157,099.44x = 216,800.91 × 89,121
  4. Step 4: Simplify right side
    157,099.44x = 19,321,513,900.11
  5. Step 5: Solve for x
    x = 19,321,513,900.11/157,099.44
  6. Step 6: Final answer
    x = 122,989.07

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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.