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Finding the Fourth Proportional to 78,005.92, 107,648.96 and 47,370.12

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Solution

The fourth proportional to 78,005.92, 107,648.96 and 47,370.12 is: 65,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.92 : 107,648.96 = 47,370.12 : x
  2. Step 2: Convert to fraction form
    78,005.92/107,648.96 = 47,370.12/x
  3. Step 3: Cross multiply
    78,005.92x = 107,648.96 × 47,370.12
  4. Step 4: Simplify right side
    78,005.92x = 5,099,344,153.08
  5. Step 5: Solve for x
    x = 5,099,344,153.08/78,005.92
  6. Step 6: Final answer
    x = 65,371.25

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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.