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Finding the Fourth Proportional to 83,604.84, 115,373.10 and 47,305.90

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Solution

The fourth proportional to 83,604.84, 115,373.10 and 47,305.90 is: 65,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,604.84 : 115,373.10 = 47,305.90 : x
  2. Step 2: Convert to fraction form
    83,604.84/115,373.10 = 47,305.90/x
  3. Step 3: Cross multiply
    83,604.84x = 115,373.10 × 47,305.90
  4. Step 4: Simplify right side
    83,604.84x = 5,457,828,331.29
  5. Step 5: Solve for x
    x = 5,457,828,331.29/83,604.84
  6. Step 6: Final answer
    x = 65,281.25

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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.