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Finding the Fourth Proportional to 203,511.52, 305,266.92 and 78,852.16

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Solution

The fourth proportional to 203,511.52, 305,266.92 and 78,852.16 is: 118,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,511.52 : 305,266.92 = 78,852.16 : x
  2. Step 2: Convert to fraction form
    203,511.52/305,266.92 = 78,852.16/x
  3. Step 3: Cross multiply
    203,511.52x = 305,266.92 × 78,852.16
  4. Step 4: Simplify right side
    203,511.52x = 24,070,956,018.55
  5. Step 5: Solve for x
    x = 24,070,956,018.55/203,511.52
  6. Step 6: Final answer
    x = 118,278.10

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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.