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Finding the Fourth Proportional to 78,415.90, 108,231.06 and 48,227.20

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Solution

The fourth proportional to 78,415.90, 108,231.06 and 48,227.20 is: 66,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,415.90 : 108,231.06 = 48,227.20 : x
  2. Step 2: Convert to fraction form
    78,415.90/108,231.06 = 48,227.20/x
  3. Step 3: Cross multiply
    78,415.90x = 108,231.06 × 48,227.20
  4. Step 4: Simplify right side
    78,415.90x = 5,219,680,976.83
  5. Step 5: Solve for x
    x = 5,219,680,976.83/78,415.90
  6. Step 6: Final answer
    x = 66,564.06

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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.