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Finding the Fourth Proportional to 134,641.65, 185,794.56 and 78,056.67

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Solution

The fourth proportional to 134,641.65, 185,794.56 and 78,056.67 is: 107,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,641.65 : 185,794.56 = 78,056.67 : x
  2. Step 2: Convert to fraction form
    134,641.65/185,794.56 = 78,056.67/x
  3. Step 3: Cross multiply
    134,641.65x = 185,794.56 × 78,056.67
  4. Step 4: Simplify right side
    134,641.65x = 14,502,504,731.92
  5. Step 5: Solve for x
    x = 14,502,504,731.92/134,641.65
  6. Step 6: Final answer
    x = 107,711.87

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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.