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Finding the Fourth Proportional to 96,870.80, 145,227.80 and 30,276.65

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Solution

The fourth proportional to 96,870.80, 145,227.80 and 30,276.65 is: 45,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,870.80 : 145,227.80 = 30,276.65 : x
  2. Step 2: Convert to fraction form
    96,870.80/145,227.80 = 30,276.65/x
  3. Step 3: Cross multiply
    96,870.80x = 145,227.80 × 30,276.65
  4. Step 4: Simplify right side
    96,870.80x = 4,397,010,393.35
  5. Step 5: Solve for x
    x = 4,397,010,393.35/96,870.80
  6. Step 6: Final answer
    x = 45,390.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.