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Finding the Fourth Proportional to 144,173.13, 216,305.96 and 69,298.71

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Solution

The fourth proportional to 144,173.13, 216,305.96 and 69,298.71 is: 103,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,173.13 : 216,305.96 = 69,298.71 : x
  2. Step 2: Convert to fraction form
    144,173.13/216,305.96 = 69,298.71/x
  3. Step 3: Cross multiply
    144,173.13x = 216,305.96 × 69,298.71
  4. Step 4: Simplify right side
    144,173.13x = 14,989,723,993.31
  5. Step 5: Solve for x
    x = 14,989,723,993.31/144,173.13
  6. Step 6: Final answer
    x = 103,970.30

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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.