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Finding the Fourth Proportional to 107,213.92, 148,006 and 71,463.52

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Solution

The fourth proportional to 107,213.92, 148,006 and 71,463.52 is: 98,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,213.92 : 148,006 = 71,463.52 : x
  2. Step 2: Convert to fraction form
    107,213.92/148,006 = 71,463.52/x
  3. Step 3: Cross multiply
    107,213.92x = 148,006 × 71,463.52
  4. Step 4: Simplify right side
    107,213.92x = 10,577,029,741.12
  5. Step 5: Solve for x
    x = 10,577,029,741.12/107,213.92
  6. Step 6: Final answer
    x = 98,653.51

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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.