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Finding the Fourth Proportional to 70,147.71, 105,235.92 and 25,774.92

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Solution

The fourth proportional to 70,147.71, 105,235.92 and 25,774.92 is: 38,667.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,147.71 : 105,235.92 = 25,774.92 : x
  2. Step 2: Convert to fraction form
    70,147.71/105,235.92 = 25,774.92/x
  3. Step 3: Cross multiply
    70,147.71x = 105,235.92 × 25,774.92
  4. Step 4: Simplify right side
    70,147.71x = 2,712,447,419.13
  5. Step 5: Solve for x
    x = 2,712,447,419.13/70,147.71
  6. Step 6: Final answer
    x = 38,667.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.