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Finding the Fourth Proportional to 159,465, 239,345.10 and 80,634.60

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Solution

The fourth proportional to 159,465, 239,345.10 and 80,634.60 is: 121,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,465 : 239,345.10 = 80,634.60 : x
  2. Step 2: Convert to fraction form
    159,465/239,345.10 = 80,634.60/x
  3. Step 3: Cross multiply
    159,465x = 239,345.10 × 80,634.60
  4. Step 4: Simplify right side
    159,465x = 19,299,496,400.46
  5. Step 5: Solve for x
    x = 19,299,496,400.46/159,465
  6. Step 6: Final answer
    x = 121,026.53

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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.