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Finding the Fourth Proportional to 85,116.63, 117,461.76 and 47,391.69

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Solution

The fourth proportional to 85,116.63, 117,461.76 and 47,391.69 is: 65,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,116.63 : 117,461.76 = 47,391.69 : x
  2. Step 2: Convert to fraction form
    85,116.63/117,461.76 = 47,391.69/x
  3. Step 3: Cross multiply
    85,116.63x = 117,461.76 × 47,391.69
  4. Step 4: Simplify right side
    85,116.63x = 5,566,711,316.77
  5. Step 5: Solve for x
    x = 5,566,711,316.77/85,116.63
  6. Step 6: Final answer
    x = 65,400.98

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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.