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Finding the Fourth Proportional to 47,248.20, 70,904.70 and 20,971.80

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Solution

The fourth proportional to 47,248.20, 70,904.70 and 20,971.80 is: 31,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,248.20 : 70,904.70 = 20,971.80 : x
  2. Step 2: Convert to fraction form
    47,248.20/70,904.70 = 20,971.80/x
  3. Step 3: Cross multiply
    47,248.20x = 70,904.70 × 20,971.80
  4. Step 4: Simplify right side
    47,248.20x = 1,486,999,187.46
  5. Step 5: Solve for x
    x = 1,486,999,187.46/47,248.20
  6. Step 6: Final answer
    x = 31,472.08

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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.