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Finding the Fourth Proportional to 136,300.80, 188,095.12 and 75,870.16

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Solution

The fourth proportional to 136,300.80, 188,095.12 and 75,870.16 is: 104,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,300.80 : 188,095.12 = 75,870.16 : x
  2. Step 2: Convert to fraction form
    136,300.80/188,095.12 = 75,870.16/x
  3. Step 3: Cross multiply
    136,300.80x = 188,095.12 × 75,870.16
  4. Step 4: Simplify right side
    136,300.80x = 14,270,806,849.62
  5. Step 5: Solve for x
    x = 14,270,806,849.62/136,300.80
  6. Step 6: Final answer
    x = 104,700.83

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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.