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Finding the Fourth Proportional to 189,173.76, 260,732.16 and 143,831.04

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Solution

The fourth proportional to 189,173.76, 260,732.16 and 143,831.04 is: 198,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,173.76 : 260,732.16 = 143,831.04 : x
  2. Step 2: Convert to fraction form
    189,173.76/260,732.16 = 143,831.04/x
  3. Step 3: Cross multiply
    189,173.76x = 260,732.16 × 143,831.04
  4. Step 4: Simplify right side
    189,173.76x = 37,501,377,734.25
  5. Step 5: Solve for x
    x = 37,501,377,734.25/189,173.76
  6. Step 6: Final answer
    x = 198,237.74

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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.