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Finding the Fourth Proportional to 70,632, 105,948 and 26,207.28

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Solution

The fourth proportional to 70,632, 105,948 and 26,207.28 is: 39,310.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,632 : 105,948 = 26,207.28 : x
  2. Step 2: Convert to fraction form
    70,632/105,948 = 26,207.28/x
  3. Step 3: Cross multiply
    70,632x = 105,948 × 26,207.28
  4. Step 4: Simplify right side
    70,632x = 2,776,608,901.44
  5. Step 5: Solve for x
    x = 2,776,608,901.44/70,632
  6. Step 6: Final answer
    x = 39,310.92

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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.