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Finding the Fourth Proportional to 83,575.76, 115,334.54 and 45,849.20

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Solution

The fourth proportional to 83,575.76, 115,334.54 and 45,849.20 is: 63,271.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,575.76 : 115,334.54 = 45,849.20 : x
  2. Step 2: Convert to fraction form
    83,575.76/115,334.54 = 45,849.20/x
  3. Step 3: Cross multiply
    83,575.76x = 115,334.54 × 45,849.20
  4. Step 4: Simplify right side
    83,575.76x = 5,287,996,391.37
  5. Step 5: Solve for x
    x = 5,287,996,391.37/83,575.76
  6. Step 6: Final answer
    x = 63,271.89

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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.