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Finding the Fourth Proportional to 149,057.40, 205,728.42 and 85,437.80

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Solution

The fourth proportional to 149,057.40, 205,728.42 and 85,437.80 is: 117,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,057.40 : 205,728.42 = 85,437.80 : x
  2. Step 2: Convert to fraction form
    149,057.40/205,728.42 = 85,437.80/x
  3. Step 3: Cross multiply
    149,057.40x = 205,728.42 × 85,437.80
  4. Step 4: Simplify right side
    149,057.40x = 17,576,983,602.28
  5. Step 5: Solve for x
    x = 17,576,983,602.28/149,057.40
  6. Step 6: Final answer
    x = 117,920.91

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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.