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Finding the Fourth Proportional to 100,307.30, 138,438.81 and 57,857.54

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Solution

The fourth proportional to 100,307.30, 138,438.81 and 57,857.54 is: 79,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,307.30 : 138,438.81 = 57,857.54 : x
  2. Step 2: Convert to fraction form
    100,307.30/138,438.81 = 57,857.54/x
  3. Step 3: Cross multiply
    100,307.30x = 138,438.81 × 57,857.54
  4. Step 4: Simplify right side
    100,307.30x = 8,009,728,987.13
  5. Step 5: Solve for x
    x = 8,009,728,987.13/100,307.30
  6. Step 6: Final answer
    x = 79,851.90

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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.