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Finding the Fourth Proportional to 81,782.38, 112,945.35 and 56,354.86

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Solution

The fourth proportional to 81,782.38, 112,945.35 and 56,354.86 is: 77,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,782.38 : 112,945.35 = 56,354.86 : x
  2. Step 2: Convert to fraction form
    81,782.38/112,945.35 = 56,354.86/x
  3. Step 3: Cross multiply
    81,782.38x = 112,945.35 × 56,354.86
  4. Step 4: Simplify right side
    81,782.38x = 6,365,019,386.90
  5. Step 5: Solve for x
    x = 6,365,019,386.90/81,782.38
  6. Step 6: Final answer
    x = 77,828.74

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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.