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Finding the Fourth Proportional to 105,502.65, 145,624.88 and 75,240.03

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Solution

The fourth proportional to 105,502.65, 145,624.88 and 75,240.03 is: 103,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502.65 : 145,624.88 = 75,240.03 : x
  2. Step 2: Convert to fraction form
    105,502.65/145,624.88 = 75,240.03/x
  3. Step 3: Cross multiply
    105,502.65x = 145,624.88 × 75,240.03
  4. Step 4: Simplify right side
    105,502.65x = 10,956,819,963.75
  5. Step 5: Solve for x
    x = 10,956,819,963.75/105,502.65
  6. Step 6: Final answer
    x = 103,853.50

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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.