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Finding the Fourth Proportional to 47,207.70, 70,823.16 and 13,929.12

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Solution

The fourth proportional to 47,207.70, 70,823.16 and 13,929.12 is: 20,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,207.70 : 70,823.16 = 13,929.12 : x
  2. Step 2: Convert to fraction form
    47,207.70/70,823.16 = 13,929.12/x
  3. Step 3: Cross multiply
    47,207.70x = 70,823.16 × 13,929.12
  4. Step 4: Simplify right side
    47,207.70x = 986,504,294.42
  5. Step 5: Solve for x
    x = 986,504,294.42/47,207.70
  6. Step 6: Final answer
    x = 20,897.11

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1.5x scale

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.