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Finding the Fourth Proportional to 145,497.52, 200,785.80 and 81,833.95

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Solution

The fourth proportional to 145,497.52, 200,785.80 and 81,833.95 is: 112,930.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,497.52 : 200,785.80 = 81,833.95 : x
  2. Step 2: Convert to fraction form
    145,497.52/200,785.80 = 81,833.95/x
  3. Step 3: Cross multiply
    145,497.52x = 200,785.80 × 81,833.95
  4. Step 4: Simplify right side
    145,497.52x = 16,431,095,117.91
  5. Step 5: Solve for x
    x = 16,431,095,117.91/145,497.52
  6. Step 6: Final answer
    x = 112,930.41

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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.