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Finding the Fourth Proportional to 54,859.50, 75,706.20 and 29,709

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Solution

The fourth proportional to 54,859.50, 75,706.20 and 29,709 is: 40,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.50 : 75,706.20 = 29,709 : x
  2. Step 2: Convert to fraction form
    54,859.50/75,706.20 = 29,709/x
  3. Step 3: Cross multiply
    54,859.50x = 75,706.20 × 29,709
  4. Step 4: Simplify right side
    54,859.50x = 2,249,155,495.80
  5. Step 5: Solve for x
    x = 2,249,155,495.80/54,859.50
  6. Step 6: Final answer
    x = 40,998.47

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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.