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Finding the Fourth Proportional to 70,422.32, 105,631.32 and 28,838

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Solution

The fourth proportional to 70,422.32, 105,631.32 and 28,838 is: 43,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422.32 : 105,631.32 = 28,838 : x
  2. Step 2: Convert to fraction form
    70,422.32/105,631.32 = 28,838/x
  3. Step 3: Cross multiply
    70,422.32x = 105,631.32 × 28,838
  4. Step 4: Simplify right side
    70,422.32x = 3,046,196,006.16
  5. Step 5: Solve for x
    x = 3,046,196,006.16/70,422.32
  6. Step 6: Final answer
    x = 43,256.12

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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.