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Finding the Fourth Proportional to 78,095.13, 117,142.69 and 31,348

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Solution

The fourth proportional to 78,095.13, 117,142.69 and 31,348 is: 47,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.13 : 117,142.69 = 31,348 : x
  2. Step 2: Convert to fraction form
    78,095.13/117,142.69 = 31,348/x
  3. Step 3: Cross multiply
    78,095.13x = 117,142.69 × 31,348
  4. Step 4: Simplify right side
    78,095.13x = 3,672,189,046.12
  5. Step 5: Solve for x
    x = 3,672,189,046.12/78,095.13
  6. Step 6: Final answer
    x = 47,022.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.