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Finding the Fourth Proportional to 148,649.31, 205,134.98 and 80,664.57

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Solution

The fourth proportional to 148,649.31, 205,134.98 and 80,664.57 is: 111,316.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649.31 : 205,134.98 = 80,664.57 : x
  2. Step 2: Convert to fraction form
    148,649.31/205,134.98 = 80,664.57/x
  3. Step 3: Cross multiply
    148,649.31x = 205,134.98 × 80,664.57
  4. Step 4: Simplify right side
    148,649.31x = 16,547,124,550.34
  5. Step 5: Solve for x
    x = 16,547,124,550.34/148,649.31
  6. Step 6: Final answer
    x = 111,316.52

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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.