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Finding the Fourth Proportional to 85,497.71, 117,983.18 and 47,255.30

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Solution

The fourth proportional to 85,497.71, 117,983.18 and 47,255.30 is: 65,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,497.71 : 117,983.18 = 47,255.30 : x
  2. Step 2: Convert to fraction form
    85,497.71/117,983.18 = 47,255.30/x
  3. Step 3: Cross multiply
    85,497.71x = 117,983.18 × 47,255.30
  4. Step 4: Simplify right side
    85,497.71x = 5,575,330,094.08
  5. Step 5: Solve for x
    x = 5,575,330,094.08/85,497.71
  6. Step 6: Final answer
    x = 65,210.29

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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.