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Finding the Fourth Proportional to 76,752.80, 114,934.80 and 61,200.80

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Solution

The fourth proportional to 76,752.80, 114,934.80 and 61,200.80 is: 91,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,752.80 : 114,934.80 = 61,200.80 : x
  2. Step 2: Convert to fraction form
    76,752.80/114,934.80 = 61,200.80/x
  3. Step 3: Cross multiply
    76,752.80x = 114,934.80 × 61,200.80
  4. Step 4: Simplify right side
    76,752.80x = 7,034,101,707.84
  5. Step 5: Solve for x
    x = 7,034,101,707.84/76,752.80
  6. Step 6: Final answer
    x = 91,646.19

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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.