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Finding the Fourth Proportional to 85,212.92, 127,774.61 and 37,807.48

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Solution

The fourth proportional to 85,212.92, 127,774.61 and 37,807.48 is: 56,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,212.92 : 127,774.61 = 37,807.48 : x
  2. Step 2: Convert to fraction form
    85,212.92/127,774.61 = 37,807.48/x
  3. Step 3: Cross multiply
    85,212.92x = 127,774.61 × 37,807.48
  4. Step 4: Simplify right side
    85,212.92x = 4,830,835,373.21
  5. Step 5: Solve for x
    x = 4,830,835,373.21/85,212.92
  6. Step 6: Final answer
    x = 56,691.35

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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.