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Finding the Fourth Proportional to 228,200, 342,345.60 and 70,422.52

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Solution

The fourth proportional to 228,200, 342,345.60 and 70,422.52 is: 105,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,200 : 342,345.60 = 70,422.52 : x
  2. Step 2: Convert to fraction form
    228,200/342,345.60 = 70,422.52/x
  3. Step 3: Cross multiply
    228,200x = 342,345.60 × 70,422.52
  4. Step 4: Simplify right side
    228,200x = 24,108,839,862.91
  5. Step 5: Solve for x
    x = 24,108,839,862.91/228,200
  6. Step 6: Final answer
    x = 105,647.85

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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.