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Finding the Fourth Proportional to 83,322.90, 114,985.13 and 76,545

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Solution

The fourth proportional to 83,322.90, 114,985.13 and 76,545 is: 105,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,322.90 : 114,985.13 = 76,545 : x
  2. Step 2: Convert to fraction form
    83,322.90/114,985.13 = 76,545/x
  3. Step 3: Cross multiply
    83,322.90x = 114,985.13 × 76,545
  4. Step 4: Simplify right side
    83,322.90x = 8,801,536,393.13
  5. Step 5: Solve for x
    x = 8,801,536,393.13/83,322.90
  6. Step 6: Final answer
    x = 105,631.66

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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.