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Finding the Fourth Proportional to 144,164.71, 216,293.31 and 69,290.26

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Solution

The fourth proportional to 144,164.71, 216,293.31 and 69,290.26 is: 103,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,164.71 : 216,293.31 = 69,290.26 : x
  2. Step 2: Convert to fraction form
    144,164.71/216,293.31 = 69,290.26/x
  3. Step 3: Cross multiply
    144,164.71x = 216,293.31 × 69,290.26
  4. Step 4: Simplify right side
    144,164.71x = 14,987,019,948.63
  5. Step 5: Solve for x
    x = 14,987,019,948.63/144,164.71
  6. Step 6: Final answer
    x = 103,957.62

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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.