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Finding the Fourth Proportional to 78,266.22, 117,407.54 and 33,897.46

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Solution

The fourth proportional to 78,266.22, 117,407.54 and 33,897.46 is: 50,849.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,266.22 : 117,407.54 = 33,897.46 : x
  2. Step 2: Convert to fraction form
    78,266.22/117,407.54 = 33,897.46/x
  3. Step 3: Cross multiply
    78,266.22x = 117,407.54 × 33,897.46
  4. Step 4: Simplify right side
    78,266.22x = 3,979,817,390.85
  5. Step 5: Solve for x
    x = 3,979,817,390.85/78,266.22
  6. Step 6: Final answer
    x = 50,849.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.