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Finding the Fourth Proportional to 105,882.59, 146,186.35 and 65,639.36

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Solution

The fourth proportional to 105,882.59, 146,186.35 and 65,639.36 is: 90,624.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.59 : 146,186.35 = 65,639.36 : x
  2. Step 2: Convert to fraction form
    105,882.59/146,186.35 = 65,639.36/x
  3. Step 3: Cross multiply
    105,882.59x = 146,186.35 × 65,639.36
  4. Step 4: Simplify right side
    105,882.59x = 9,595,577,559.71
  5. Step 5: Solve for x
    x = 9,595,577,559.71/105,882.59
  6. Step 6: Final answer
    x = 90,624.70

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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.