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Finding the Fourth Proportional to 83,485.68, 115,212.24 and 45,762

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Solution

The fourth proportional to 83,485.68, 115,212.24 and 45,762 is: 63,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.68 : 115,212.24 = 45,762 : x
  2. Step 2: Convert to fraction form
    83,485.68/115,212.24 = 45,762/x
  3. Step 3: Cross multiply
    83,485.68x = 115,212.24 × 45,762
  4. Step 4: Simplify right side
    83,485.68x = 5,272,342,526.88
  5. Step 5: Solve for x
    x = 5,272,342,526.88/83,485.68
  6. Step 6: Final answer
    x = 63,152.66

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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.