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Finding the Fourth Proportional to 144,172.13, 216,304.46 and 69,297.71

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Solution

The fourth proportional to 144,172.13, 216,304.46 and 69,297.71 is: 103,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.13 : 216,304.46 = 69,297.71 : x
  2. Step 2: Convert to fraction form
    144,172.13/216,304.46 = 69,297.71/x
  3. Step 3: Cross multiply
    144,172.13x = 216,304.46 × 69,297.71
  4. Step 4: Simplify right side
    144,172.13x = 14,989,402,312.78
  5. Step 5: Solve for x
    x = 14,989,402,312.78/144,172.13
  6. Step 6: Final answer
    x = 103,968.80

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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.