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Finding the Fourth Proportional to 102,006.20, 153,009.30 and 82,323.20

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Solution

The fourth proportional to 102,006.20, 153,009.30 and 82,323.20 is: 123,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.20 : 153,009.30 = 82,323.20 : x
  2. Step 2: Convert to fraction form
    102,006.20/153,009.30 = 82,323.20/x
  3. Step 3: Cross multiply
    102,006.20x = 153,009.30 × 82,323.20
  4. Step 4: Simplify right side
    102,006.20x = 12,596,215,205.76
  5. Step 5: Solve for x
    x = 12,596,215,205.76/102,006.20
  6. Step 6: Final answer
    x = 123,484.80

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1.5x scale

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.