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Finding the Fourth Proportional to 189,247.16, 283,870.76 and 76,988.42

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Solution

The fourth proportional to 189,247.16, 283,870.76 and 76,988.42 is: 115,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,247.16 : 283,870.76 = 76,988.42 : x
  2. Step 2: Convert to fraction form
    189,247.16/283,870.76 = 76,988.42/x
  3. Step 3: Cross multiply
    189,247.16x = 283,870.76 × 76,988.42
  4. Step 4: Simplify right side
    189,247.16x = 21,854,760,069.72
  5. Step 5: Solve for x
    x = 21,854,760,069.72/189,247.16
  6. Step 6: Final answer
    x = 115,482.63

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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.