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Finding the Fourth Proportional to 102,695.70, 141,644.25 and 64,933.50

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Solution

The fourth proportional to 102,695.70, 141,644.25 and 64,933.50 is: 89,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,695.70 : 141,644.25 = 64,933.50 : x
  2. Step 2: Convert to fraction form
    102,695.70/141,644.25 = 64,933.50/x
  3. Step 3: Cross multiply
    102,695.70x = 141,644.25 × 64,933.50
  4. Step 4: Simplify right side
    102,695.70x = 9,197,456,907.38
  5. Step 5: Solve for x
    x = 9,197,456,907.38/102,695.70
  6. Step 6: Final answer
    x = 89,560.29

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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.