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Finding the Fourth Proportional to 207,486.81, 310,731.24 and 118,470.51

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Solution

The fourth proportional to 207,486.81, 310,731.24 and 118,470.51 is: 177,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,486.81 : 310,731.24 = 118,470.51 : x
  2. Step 2: Convert to fraction form
    207,486.81/310,731.24 = 118,470.51/x
  3. Step 3: Cross multiply
    207,486.81x = 310,731.24 × 118,470.51
  4. Step 4: Simplify right side
    207,486.81x = 36,812,488,475.73
  5. Step 5: Solve for x
    x = 36,812,488,475.73/207,486.81
  6. Step 6: Final answer
    x = 177,420.86

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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.