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Finding the Fourth Proportional to 148,649.41, 205,135.16 and 80,664.67

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Solution

The fourth proportional to 148,649.41, 205,135.16 and 80,664.67 is: 111,316.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649.41 : 205,135.16 = 80,664.67 : x
  2. Step 2: Convert to fraction form
    148,649.41/205,135.16 = 80,664.67/x
  3. Step 3: Cross multiply
    148,649.41x = 205,135.16 × 80,664.67
  4. Step 4: Simplify right side
    148,649.41x = 16,547,160,188.46
  5. Step 5: Solve for x
    x = 16,547,160,188.46/148,649.41
  6. Step 6: Final answer
    x = 111,316.69

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1.5x scale

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.