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Finding the Fourth Proportional to 144,136.26, 216,244.04 and 69,319

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Solution

The fourth proportional to 144,136.26, 216,244.04 and 69,319 is: 103,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,136.26 : 216,244.04 = 69,319 : x
  2. Step 2: Convert to fraction form
    144,136.26/216,244.04 = 69,319/x
  3. Step 3: Cross multiply
    144,136.26x = 216,244.04 × 69,319
  4. Step 4: Simplify right side
    144,136.26x = 14,989,820,608.76
  5. Step 5: Solve for x
    x = 14,989,820,608.76/144,136.26
  6. Step 6: Final answer
    x = 103,997.57

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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.