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Finding the Fourth Proportional to 78,718.92, 118,127.60 and 31,971.80

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Solution

The fourth proportional to 78,718.92, 118,127.60 and 31,971.80 is: 47,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718.92 : 118,127.60 = 31,971.80 : x
  2. Step 2: Convert to fraction form
    78,718.92/118,127.60 = 31,971.80/x
  3. Step 3: Cross multiply
    78,718.92x = 118,127.60 × 31,971.80
  4. Step 4: Simplify right side
    78,718.92x = 3,776,751,251.18
  5. Step 5: Solve for x
    x = 3,776,751,251.18/78,718.92
  6. Step 6: Final answer
    x = 47,977.68

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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.