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Finding the Fourth Proportional to 78,466.22, 108,283.12 and 42,655.98

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Solution

The fourth proportional to 78,466.22, 108,283.12 and 42,655.98 is: 58,865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.22 : 108,283.12 = 42,655.98 : x
  2. Step 2: Convert to fraction form
    78,466.22/108,283.12 = 42,655.98/x
  3. Step 3: Cross multiply
    78,466.22x = 108,283.12 × 42,655.98
  4. Step 4: Simplify right side
    78,466.22x = 4,618,922,383.67
  5. Step 5: Solve for x
    x = 4,618,922,383.67/78,466.22
  6. Step 6: Final answer
    x = 58,865.11

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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.