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Finding the Fourth Proportional to 100,397.42, 138,548.48 and 55,685.42

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Solution

The fourth proportional to 100,397.42, 138,548.48 and 55,685.42 is: 76,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,397.42 : 138,548.48 = 55,685.42 : x
  2. Step 2: Convert to fraction form
    100,397.42/138,548.48 = 55,685.42/x
  3. Step 3: Cross multiply
    100,397.42x = 138,548.48 × 55,685.42
  4. Step 4: Simplify right side
    100,397.42x = 7,715,130,299.16
  5. Step 5: Solve for x
    x = 7,715,130,299.16/100,397.42
  6. Step 6: Final answer
    x = 76,845.90

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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.