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Finding the Fourth Proportional to 69,680, 96,160.16 and 37,848.90

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Solution

The fourth proportional to 69,680, 96,160.16 and 37,848.90 is: 52,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,680 : 96,160.16 = 37,848.90 : x
  2. Step 2: Convert to fraction form
    69,680/96,160.16 = 37,848.90/x
  3. Step 3: Cross multiply
    69,680x = 96,160.16 × 37,848.90
  4. Step 4: Simplify right side
    69,680x = 3,639,556,279.82
  5. Step 5: Solve for x
    x = 3,639,556,279.82/69,680
  6. Step 6: Final answer
    x = 52,232.44

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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.