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Finding the Fourth Proportional to 149,910.52, 206,913.26 and 85,417.78

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Solution

The fourth proportional to 149,910.52, 206,913.26 and 85,417.78 is: 117,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,910.52 : 206,913.26 = 85,417.78 : x
  2. Step 2: Convert to fraction form
    149,910.52/206,913.26 = 85,417.78/x
  3. Step 3: Cross multiply
    149,910.52x = 206,913.26 × 85,417.78
  4. Step 4: Simplify right side
    149,910.52x = 17,674,071,321.76
  5. Step 5: Solve for x
    x = 17,674,071,321.76/149,910.52
  6. Step 6: Final answer
    x = 117,897.47

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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.