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Finding the Fourth Proportional to 70,211.28, 105,326.78 and 22,811.16

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Solution

The fourth proportional to 70,211.28, 105,326.78 and 22,811.16 is: 34,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,211.28 : 105,326.78 = 22,811.16 : x
  2. Step 2: Convert to fraction form
    70,211.28/105,326.78 = 22,811.16/x
  3. Step 3: Cross multiply
    70,211.28x = 105,326.78 × 22,811.16
  4. Step 4: Simplify right side
    70,211.28x = 2,402,626,030.86
  5. Step 5: Solve for x
    x = 2,402,626,030.86/70,211.28
  6. Step 6: Final answer
    x = 34,219.94

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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.