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Finding the Fourth Proportional to 70,749, 106,124.22 and 21,501

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Solution

The fourth proportional to 70,749, 106,124.22 and 21,501 is: 32,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,749 : 106,124.22 = 21,501 : x
  2. Step 2: Convert to fraction form
    70,749/106,124.22 = 21,501/x
  3. Step 3: Cross multiply
    70,749x = 106,124.22 × 21,501
  4. Step 4: Simplify right side
    70,749x = 2,281,776,854.22
  5. Step 5: Solve for x
    x = 2,281,776,854.22/70,749
  6. Step 6: Final answer
    x = 32,251.72

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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.