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Finding the Fourth Proportional to 47,098.80, 70,647.92 and 12,038.40

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Solution

The fourth proportional to 47,098.80, 70,647.92 and 12,038.40 is: 18,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,098.80 : 70,647.92 = 12,038.40 : x
  2. Step 2: Convert to fraction form
    47,098.80/70,647.92 = 12,038.40/x
  3. Step 3: Cross multiply
    47,098.80x = 70,647.92 × 12,038.40
  4. Step 4: Simplify right side
    47,098.80x = 850,487,920.13
  5. Step 5: Solve for x
    x = 850,487,920.13/47,098.80
  6. Step 6: Final answer
    x = 18,057.53

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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.