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Finding the Fourth Proportional to 100,943.70, 151,415.55 and 85,197.30

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Solution

The fourth proportional to 100,943.70, 151,415.55 and 85,197.30 is: 127,795.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,943.70 : 151,415.55 = 85,197.30 : x
  2. Step 2: Convert to fraction form
    100,943.70/151,415.55 = 85,197.30/x
  3. Step 3: Cross multiply
    100,943.70x = 151,415.55 × 85,197.30
  4. Step 4: Simplify right side
    100,943.70x = 12,900,196,038.02
  5. Step 5: Solve for x
    x = 12,900,196,038.02/100,943.70
  6. Step 6: Final answer
    x = 127,795.95

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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.