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Finding the Fourth Proportional to 78,215.47, 107,859.62 and 58,880.68

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Solution

The fourth proportional to 78,215.47, 107,859.62 and 58,880.68 is: 81,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,215.47 : 107,859.62 = 58,880.68 : x
  2. Step 2: Convert to fraction form
    78,215.47/107,859.62 = 58,880.68/x
  3. Step 3: Cross multiply
    78,215.47x = 107,859.62 × 58,880.68
  4. Step 4: Simplify right side
    78,215.47x = 6,350,847,647.69
  5. Step 5: Solve for x
    x = 6,350,847,647.69/78,215.47
  6. Step 6: Final answer
    x = 81,196.83

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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.