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Finding the Fourth Proportional to 100,857.10, 151,285.65 and 85,305.10

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Solution

The fourth proportional to 100,857.10, 151,285.65 and 85,305.10 is: 127,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,857.10 : 151,285.65 = 85,305.10 : x
  2. Step 2: Convert to fraction form
    100,857.10/151,285.65 = 85,305.10/x
  3. Step 3: Cross multiply
    100,857.10x = 151,285.65 × 85,305.10
  4. Step 4: Simplify right side
    100,857.10x = 12,905,437,501.82
  5. Step 5: Solve for x
    x = 12,905,437,501.82/100,857.10
  6. Step 6: Final answer
    x = 127,957.65

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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.