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Finding the Fourth Proportional to 47,162.52, 70,704 and 20,488.32

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Solution

The fourth proportional to 47,162.52, 70,704 and 20,488.32 is: 30,715.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,162.52 : 70,704 = 20,488.32 : x
  2. Step 2: Convert to fraction form
    47,162.52/70,704 = 20,488.32/x
  3. Step 3: Cross multiply
    47,162.52x = 70,704 × 20,488.32
  4. Step 4: Simplify right side
    47,162.52x = 1,448,606,177.28
  5. Step 5: Solve for x
    x = 1,448,606,177.28/47,162.52
  6. Step 6: Final answer
    x = 30,715.20

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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.