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Finding the Fourth Proportional to 91,947.90, 138,051.45 and 56,955.90

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Solution

The fourth proportional to 91,947.90, 138,051.45 and 56,955.90 is: 85,514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,947.90 : 138,051.45 = 56,955.90 : x
  2. Step 2: Convert to fraction form
    91,947.90/138,051.45 = 56,955.90/x
  3. Step 3: Cross multiply
    91,947.90x = 138,051.45 × 56,955.90
  4. Step 4: Simplify right side
    91,947.90x = 7,862,844,581.06
  5. Step 5: Solve for x
    x = 7,862,844,581.06/91,947.90
  6. Step 6: Final answer
    x = 85,514.13

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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.