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Finding the Fourth Proportional to 82,632, 114,332.40 and 72,043.68

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Solution

The fourth proportional to 82,632, 114,332.40 and 72,043.68 is: 99,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,632 : 114,332.40 = 72,043.68 : x
  2. Step 2: Convert to fraction form
    82,632/114,332.40 = 72,043.68/x
  3. Step 3: Cross multiply
    82,632x = 114,332.40 × 72,043.68
  4. Step 4: Simplify right side
    82,632x = 8,236,926,839.23
  5. Step 5: Solve for x
    x = 8,236,926,839.23/82,632
  6. Step 6: Final answer
    x = 99,682.05

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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.