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Finding the Fourth Proportional to 119,409.86, 178,061.32 and 118,343.90

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Solution

The fourth proportional to 119,409.86, 178,061.32 and 118,343.90 is: 176,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,409.86 : 178,061.32 = 118,343.90 : x
  2. Step 2: Convert to fraction form
    119,409.86/178,061.32 = 118,343.90/x
  3. Step 3: Cross multiply
    119,409.86x = 178,061.32 × 118,343.90
  4. Step 4: Simplify right side
    119,409.86x = 21,072,471,047.95
  5. Step 5: Solve for x
    x = 21,072,471,047.95/119,409.86
  6. Step 6: Final answer
    x = 176,471.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.