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Finding the Fourth Proportional to 78,649.38, 108,538.65 and 42,840.54

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Solution

The fourth proportional to 78,649.38, 108,538.65 and 42,840.54 is: 59,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,649.38 : 108,538.65 = 42,840.54 : x
  2. Step 2: Convert to fraction form
    78,649.38/108,538.65 = 42,840.54/x
  3. Step 3: Cross multiply
    78,649.38x = 108,538.65 × 42,840.54
  4. Step 4: Simplify right side
    78,649.38x = 4,649,854,376.87
  5. Step 5: Solve for x
    x = 4,649,854,376.87/78,649.38
  6. Step 6: Final answer
    x = 59,121.31

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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.