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Finding the Fourth Proportional to 83,495.34, 115,211.04 and 47,677.74

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Solution

The fourth proportional to 83,495.34, 115,211.04 and 47,677.74 is: 65,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,495.34 : 115,211.04 = 47,677.74 : x
  2. Step 2: Convert to fraction form
    83,495.34/115,211.04 = 47,677.74/x
  3. Step 3: Cross multiply
    83,495.34x = 115,211.04 × 47,677.74
  4. Step 4: Simplify right side
    83,495.34x = 5,493,002,010.25
  5. Step 5: Solve for x
    x = 5,493,002,010.25/83,495.34
  6. Step 6: Final answer
    x = 65,788.13

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1.5x scale

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.