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Finding the Fourth Proportional to 100,010.30, 137,949.18 and 64,143.50

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Solution

The fourth proportional to 100,010.30, 137,949.18 and 64,143.50 is: 88,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010.30 : 137,949.18 = 64,143.50 : x
  2. Step 2: Convert to fraction form
    100,010.30/137,949.18 = 64,143.50/x
  3. Step 3: Cross multiply
    100,010.30x = 137,949.18 × 64,143.50
  4. Step 4: Simplify right side
    100,010.30x = 8,848,543,227.33
  5. Step 5: Solve for x
    x = 8,848,543,227.33/100,010.30
  6. Step 6: Final answer
    x = 88,476.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.