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Finding the Fourth Proportional to 83,271.92, 114,928.10 and 65,501.60

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Solution

The fourth proportional to 83,271.92, 114,928.10 and 65,501.60 is: 90,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.92 : 114,928.10 = 65,501.60 : x
  2. Step 2: Convert to fraction form
    83,271.92/114,928.10 = 65,501.60/x
  3. Step 3: Cross multiply
    83,271.92x = 114,928.10 × 65,501.60
  4. Step 4: Simplify right side
    83,271.92x = 7,527,974,434.96
  5. Step 5: Solve for x
    x = 7,527,974,434.96/83,271.92
  6. Step 6: Final answer
    x = 90,402.32

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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.