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Finding the Fourth Proportional to 189,159.16, 283,744.68 and 70,807.90

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Solution

The fourth proportional to 189,159.16, 283,744.68 and 70,807.90 is: 106,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,159.16 : 283,744.68 = 70,807.90 : x
  2. Step 2: Convert to fraction form
    189,159.16/283,744.68 = 70,807.90/x
  3. Step 3: Cross multiply
    189,159.16x = 283,744.68 × 70,807.90
  4. Step 4: Simplify right side
    189,159.16x = 20,091,364,926.97
  5. Step 5: Solve for x
    x = 20,091,364,926.97/189,159.16
  6. Step 6: Final answer
    x = 106,214.07

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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.