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Finding the Fourth Proportional to 145,439.76, 200,702.88 and 81,775.92

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Solution

The fourth proportional to 145,439.76, 200,702.88 and 81,775.92 is: 112,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,439.76 : 200,702.88 = 81,775.92 : x
  2. Step 2: Convert to fraction form
    145,439.76/200,702.88 = 81,775.92/x
  3. Step 3: Cross multiply
    145,439.76x = 200,702.88 × 81,775.92
  4. Step 4: Simplify right side
    145,439.76x = 16,412,662,658.65
  5. Step 5: Solve for x
    x = 16,412,662,658.65/145,439.76
  6. Step 6: Final answer
    x = 112,848.53

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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.