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Finding the Fourth Proportional to 76,200, 105,159.24 and 44,363.76

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Solution

The fourth proportional to 76,200, 105,159.24 and 44,363.76 is: 61,223.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,200 : 105,159.24 = 44,363.76 : x
  2. Step 2: Convert to fraction form
    76,200/105,159.24 = 44,363.76/x
  3. Step 3: Cross multiply
    76,200x = 105,159.24 × 44,363.76
  4. Step 4: Simplify right side
    76,200x = 4,665,259,285.14
  5. Step 5: Solve for x
    x = 4,665,259,285.14/76,200
  6. Step 6: Final answer
    x = 61,223.88

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1.5x scale

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.