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Finding the Fourth Proportional to 149,113.67, 205,782.55 and 85,463.78

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Solution

The fourth proportional to 149,113.67, 205,782.55 and 85,463.78 is: 117,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,113.67 : 205,782.55 = 85,463.78 : x
  2. Step 2: Convert to fraction form
    149,113.67/205,782.55 = 85,463.78/x
  3. Step 3: Cross multiply
    149,113.67x = 205,782.55 × 85,463.78
  4. Step 4: Simplify right side
    149,113.67x = 17,586,953,338.47
  5. Step 5: Solve for x
    x = 17,586,953,338.47/149,113.67
  6. Step 6: Final answer
    x = 117,943.27

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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.