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Finding the Fourth Proportional to 140,865.95, 211,298.93 and 85,345.31

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Solution

The fourth proportional to 140,865.95, 211,298.93 and 85,345.31 is: 128,017.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,865.95 : 211,298.93 = 85,345.31 : x
  2. Step 2: Convert to fraction form
    140,865.95/211,298.93 = 85,345.31/x
  3. Step 3: Cross multiply
    140,865.95x = 211,298.93 × 85,345.31
  4. Step 4: Simplify right side
    140,865.95x = 18,033,373,105.08
  5. Step 5: Solve for x
    x = 18,033,373,105.08/140,865.95
  6. Step 6: Final answer
    x = 128,017.97

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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.