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Finding the Fourth Proportional to 70,301.93, 105,431.96 and 38,275.88

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Solution

The fourth proportional to 70,301.93, 105,431.96 and 38,275.88 is: 57,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,301.93 : 105,431.96 = 38,275.88 : x
  2. Step 2: Convert to fraction form
    70,301.93/105,431.96 = 38,275.88/x
  3. Step 3: Cross multiply
    70,301.93x = 105,431.96 × 38,275.88
  4. Step 4: Simplify right side
    70,301.93x = 4,035,500,617.65
  5. Step 5: Solve for x
    x = 4,035,500,617.65/70,301.93
  6. Step 6: Final answer
    x = 57,402.42

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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.