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Finding the Fourth Proportional to 144,740.52, 217,018.44 and 85,594.32

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Solution

The fourth proportional to 144,740.52, 217,018.44 and 85,594.32 is: 128,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,740.52 : 217,018.44 = 85,594.32 : x
  2. Step 2: Convert to fraction form
    144,740.52/217,018.44 = 85,594.32/x
  3. Step 3: Cross multiply
    144,740.52x = 217,018.44 × 85,594.32
  4. Step 4: Simplify right side
    144,740.52x = 18,575,545,799.26
  5. Step 5: Solve for x
    x = 18,575,545,799.26/144,740.52
  6. Step 6: Final answer
    x = 128,336.87

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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.