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Finding the Fourth Proportional to 78,275.75, 108,020.85 and 42,466.01

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Solution

The fourth proportional to 78,275.75, 108,020.85 and 42,466.01 is: 58,603.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,275.75 : 108,020.85 = 42,466.01 : x
  2. Step 2: Convert to fraction form
    78,275.75/108,020.85 = 42,466.01/x
  3. Step 3: Cross multiply
    78,275.75x = 108,020.85 × 42,466.01
  4. Step 4: Simplify right side
    78,275.75x = 4,587,214,766.36
  5. Step 5: Solve for x
    x = 4,587,214,766.36/78,275.75
  6. Step 6: Final answer
    x = 58,603.27

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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.