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Finding the Fourth Proportional to 148,743, 205,300.80 and 85,117.50

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Solution

The fourth proportional to 148,743, 205,300.80 and 85,117.50 is: 117,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,743 : 205,300.80 = 85,117.50 : x
  2. Step 2: Convert to fraction form
    148,743/205,300.80 = 85,117.50/x
  3. Step 3: Cross multiply
    148,743x = 205,300.80 × 85,117.50
  4. Step 4: Simplify right side
    148,743x = 17,474,690,844
  5. Step 5: Solve for x
    x = 17,474,690,844/148,743
  6. Step 6: Final answer
    x = 117,482.44

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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.