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Finding the Fourth Proportional to 228,345.20, 342,517.80 and 103,686.20

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Solution

The fourth proportional to 228,345.20, 342,517.80 and 103,686.20 is: 155,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,345.20 : 342,517.80 = 103,686.20 : x
  2. Step 2: Convert to fraction form
    228,345.20/342,517.80 = 103,686.20/x
  3. Step 3: Cross multiply
    228,345.20x = 342,517.80 × 103,686.20
  4. Step 4: Simplify right side
    228,345.20x = 35,514,369,114.36
  5. Step 5: Solve for x
    x = 35,514,369,114.36/228,345.20
  6. Step 6: Final answer
    x = 155,529.30

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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.