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Finding the Fourth Proportional to 100,075.32, 138,217.32 and 68,188.86

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Solution

The fourth proportional to 100,075.32, 138,217.32 and 68,188.86 is: 94,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,075.32 : 138,217.32 = 68,188.86 : x
  2. Step 2: Convert to fraction form
    100,075.32/138,217.32 = 68,188.86/x
  3. Step 3: Cross multiply
    100,075.32x = 138,217.32 × 68,188.86
  4. Step 4: Simplify right side
    100,075.32x = 9,424,881,483.06
  5. Step 5: Solve for x
    x = 9,424,881,483.06/100,075.32
  6. Step 6: Final answer
    x = 94,177.88

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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.