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Finding the Fourth Proportional to 47,065.60, 70,616.88 and 20,752

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Solution

The fourth proportional to 47,065.60, 70,616.88 and 20,752 is: 31,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,065.60 : 70,616.88 = 20,752 : x
  2. Step 2: Convert to fraction form
    47,065.60/70,616.88 = 20,752/x
  3. Step 3: Cross multiply
    47,065.60x = 70,616.88 × 20,752
  4. Step 4: Simplify right side
    47,065.60x = 1,465,441,493.76
  5. Step 5: Solve for x
    x = 1,465,441,493.76/47,065.60
  6. Step 6: Final answer
    x = 31,136.15

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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.