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Finding the Fourth Proportional to 78,258.66, 107,998.80 and 47,621.22

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Solution

The fourth proportional to 78,258.66, 107,998.80 and 47,621.22 is: 65,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,258.66 : 107,998.80 = 47,621.22 : x
  2. Step 2: Convert to fraction form
    78,258.66/107,998.80 = 47,621.22/x
  3. Step 3: Cross multiply
    78,258.66x = 107,998.80 × 47,621.22
  4. Step 4: Simplify right side
    78,258.66x = 5,143,034,614.54
  5. Step 5: Solve for x
    x = 5,143,034,614.54/78,258.66
  6. Step 6: Final answer
    x = 65,718.41

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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.