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Finding the Fourth Proportional to 70,879.40, 106,319.10 and 21,631.40

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Solution

The fourth proportional to 70,879.40, 106,319.10 and 21,631.40 is: 32,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,879.40 : 106,319.10 = 21,631.40 : x
  2. Step 2: Convert to fraction form
    70,879.40/106,319.10 = 21,631.40/x
  3. Step 3: Cross multiply
    70,879.40x = 106,319.10 × 21,631.40
  4. Step 4: Simplify right side
    70,879.40x = 2,299,830,979.74
  5. Step 5: Solve for x
    x = 2,299,830,979.74/70,879.40
  6. Step 6: Final answer
    x = 32,447.10

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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.