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Finding the Fourth Proportional to 207,487.81, 310,732.74 and 118,471.51

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Solution

The fourth proportional to 207,487.81, 310,732.74 and 118,471.51 is: 177,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,487.81 : 310,732.74 = 118,471.51 : x
  2. Step 2: Convert to fraction form
    207,487.81/310,732.74 = 118,471.51/x
  3. Step 3: Cross multiply
    207,487.81x = 310,732.74 × 118,471.51
  4. Step 4: Simplify right side
    207,487.81x = 36,812,976,914.24
  5. Step 5: Solve for x
    x = 36,812,976,914.24/207,487.81
  6. Step 6: Final answer
    x = 177,422.36

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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.