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Finding the Fourth Proportional to 202,051.30, 303,260.55 and 102,280.90

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Solution

The fourth proportional to 202,051.30, 303,260.55 and 102,280.90 is: 153,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.30 : 303,260.55 = 102,280.90 : x
  2. Step 2: Convert to fraction form
    202,051.30/303,260.55 = 102,280.90/x
  3. Step 3: Cross multiply
    202,051.30x = 303,260.55 × 102,280.90
  4. Step 4: Simplify right side
    202,051.30x = 31,017,761,988.50
  5. Step 5: Solve for x
    x = 31,017,761,988.50/202,051.30
  6. Step 6: Final answer
    x = 153,514.29

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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.