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Finding the Fourth Proportional to 82,588.68, 113,981.94 and 77,521.86

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Solution

The fourth proportional to 82,588.68, 113,981.94 and 77,521.86 is: 106,989.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,588.68 : 113,981.94 = 77,521.86 : x
  2. Step 2: Convert to fraction form
    82,588.68/113,981.94 = 77,521.86/x
  3. Step 3: Cross multiply
    82,588.68x = 113,981.94 × 77,521.86
  4. Step 4: Simplify right side
    82,588.68x = 8,836,091,995.21
  5. Step 5: Solve for x
    x = 8,836,091,995.21/82,588.68
  6. Step 6: Final answer
    x = 106,989.14

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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.