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Finding the Fourth Proportional to 76,811.80, 115,223.10 and 43,547.80

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Solution

The fourth proportional to 76,811.80, 115,223.10 and 43,547.80 is: 65,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,811.80 : 115,223.10 = 43,547.80 : x
  2. Step 2: Convert to fraction form
    76,811.80/115,223.10 = 43,547.80/x
  3. Step 3: Cross multiply
    76,811.80x = 115,223.10 × 43,547.80
  4. Step 4: Simplify right side
    76,811.80x = 5,017,712,514.18
  5. Step 5: Solve for x
    x = 5,017,712,514.18/76,811.80
  6. Step 6: Final answer
    x = 65,324.76

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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.