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Finding the Fourth Proportional to 152,053.80, 228,080.70 and 102,287.40

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Solution

The fourth proportional to 152,053.80, 228,080.70 and 102,287.40 is: 153,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.80 : 228,080.70 = 102,287.40 : x
  2. Step 2: Convert to fraction form
    152,053.80/228,080.70 = 102,287.40/x
  3. Step 3: Cross multiply
    152,053.80x = 228,080.70 × 102,287.40
  4. Step 4: Simplify right side
    152,053.80x = 23,329,781,793.18
  5. Step 5: Solve for x
    x = 23,329,781,793.18/152,053.80
  6. Step 6: Final answer
    x = 153,431.10

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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.