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Finding the Fourth Proportional to 70,947.64, 106,437.12 and 21,031.72

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Solution

The fourth proportional to 70,947.64, 106,437.12 and 21,031.72 is: 31,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.64 : 106,437.12 = 21,031.72 : x
  2. Step 2: Convert to fraction form
    70,947.64/106,437.12 = 21,031.72/x
  3. Step 3: Cross multiply
    70,947.64x = 106,437.12 × 21,031.72
  4. Step 4: Simplify right side
    70,947.64x = 2,238,555,705.45
  5. Step 5: Solve for x
    x = 2,238,555,705.45/70,947.64
  6. Step 6: Final answer
    x = 31,552.22

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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.