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Finding the Fourth Proportional to 152,107.20, 228,160.80 and 102,340.80

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Solution

The fourth proportional to 152,107.20, 228,160.80 and 102,340.80 is: 153,511.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,107.20 : 228,160.80 = 102,340.80 : x
  2. Step 2: Convert to fraction form
    152,107.20/228,160.80 = 102,340.80/x
  3. Step 3: Cross multiply
    152,107.20x = 228,160.80 × 102,340.80
  4. Step 4: Simplify right side
    152,107.20x = 23,350,158,800.64
  5. Step 5: Solve for x
    x = 23,350,158,800.64/152,107.20
  6. Step 6: Final answer
    x = 153,511.20

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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.