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Finding the Fourth Proportional to 78,657.78, 108,548.02 and 42,847.44

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Solution

The fourth proportional to 78,657.78, 108,548.02 and 42,847.44 is: 59,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,657.78 : 108,548.02 = 42,847.44 : x
  2. Step 2: Convert to fraction form
    78,657.78/108,548.02 = 42,847.44/x
  3. Step 3: Cross multiply
    78,657.78x = 108,548.02 × 42,847.44
  4. Step 4: Simplify right side
    78,657.78x = 4,651,004,774.07
  5. Step 5: Solve for x
    x = 4,651,004,774.07/78,657.78
  6. Step 6: Final answer
    x = 59,129.62

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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.