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Finding the Fourth Proportional to 180,147, 248,602.86 and 100,659

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Solution

The fourth proportional to 180,147, 248,602.86 and 100,659 is: 138,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,147 : 248,602.86 = 100,659 : x
  2. Step 2: Convert to fraction form
    180,147/248,602.86 = 100,659/x
  3. Step 3: Cross multiply
    180,147x = 248,602.86 × 100,659
  4. Step 4: Simplify right side
    180,147x = 25,024,115,284.74
  5. Step 5: Solve for x
    x = 25,024,115,284.74/180,147
  6. Step 6: Final answer
    x = 138,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.