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Finding the Fourth Proportional to 83,129.16, 114,716.58 and 47,318.40

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Solution

The fourth proportional to 83,129.16, 114,716.58 and 47,318.40 is: 65,298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,129.16 : 114,716.58 = 47,318.40 : x
  2. Step 2: Convert to fraction form
    83,129.16/114,716.58 = 47,318.40/x
  3. Step 3: Cross multiply
    83,129.16x = 114,716.58 × 47,318.40
  4. Step 4: Simplify right side
    83,129.16x = 5,428,205,019.07
  5. Step 5: Solve for x
    x = 5,428,205,019.07/83,129.16
  6. Step 6: Final answer
    x = 65,298.45

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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.