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Finding the Fourth Proportional to 160,161.94, 240,387.82 and 85,345.30

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Solution

The fourth proportional to 160,161.94, 240,387.82 and 85,345.30 is: 128,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,161.94 : 240,387.82 = 85,345.30 : x
  2. Step 2: Convert to fraction form
    160,161.94/240,387.82 = 85,345.30/x
  3. Step 3: Cross multiply
    160,161.94x = 240,387.82 × 85,345.30
  4. Step 4: Simplify right side
    160,161.94x = 20,515,970,614.25
  5. Step 5: Solve for x
    x = 20,515,970,614.25/160,161.94
  6. Step 6: Final answer
    x = 128,095.17

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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.