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Finding the Fourth Proportional to 101,628.46, 152,381.12 and 45,458.10

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Solution

The fourth proportional to 101,628.46, 152,381.12 and 45,458.10 is: 68,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,628.46 : 152,381.12 = 45,458.10 : x
  2. Step 2: Convert to fraction form
    101,628.46/152,381.12 = 45,458.10/x
  3. Step 3: Cross multiply
    101,628.46x = 152,381.12 × 45,458.10
  4. Step 4: Simplify right side
    101,628.46x = 6,926,955,429.17
  5. Step 5: Solve for x
    x = 6,926,955,429.17/101,628.46
  6. Step 6: Final answer
    x = 68,159.61

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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.