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Finding the Fourth Proportional to 77,543.86, 116,315.76 and 22,139.86

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Solution

The fourth proportional to 77,543.86, 116,315.76 and 22,139.86 is: 33,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,543.86 : 116,315.76 = 22,139.86 : x
  2. Step 2: Convert to fraction form
    77,543.86/116,315.76 = 22,139.86/x
  3. Step 3: Cross multiply
    77,543.86x = 116,315.76 × 22,139.86
  4. Step 4: Simplify right side
    77,543.86x = 2,575,214,642.19
  5. Step 5: Solve for x
    x = 2,575,214,642.19/77,543.86
  6. Step 6: Final answer
    x = 33,209.78

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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.