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Finding the Fourth Proportional to 78,121.43, 116,496.14 and 77,411.00

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Solution

The fourth proportional to 78,121.43, 116,496.14 and 77,411.00 is: 115,436.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121.43 : 116,496.14 = 77,411.00 : x
  2. Step 2: Convert to fraction form
    78,121.43/116,496.14 = 77,411.00/x
  3. Step 3: Cross multiply
    78,121.43x = 116,496.14 × 77,411.00
  4. Step 4: Simplify right side
    78,121.43x = 9,018,081,724.00
  5. Step 5: Solve for x
    x = 9,018,081,724.00/78,121.43
  6. Step 6: Final answer
    x = 115,436.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.