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Finding the Fourth Proportional to 189,395.76, 284,019.81 and 71,002.50

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Solution

The fourth proportional to 189,395.76, 284,019.81 and 71,002.50 is: 106,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,395.76 : 284,019.81 = 71,002.50 : x
  2. Step 2: Convert to fraction form
    189,395.76/284,019.81 = 71,002.50/x
  3. Step 3: Cross multiply
    189,395.76x = 284,019.81 × 71,002.50
  4. Step 4: Simplify right side
    189,395.76x = 20,166,116,559.53
  5. Step 5: Solve for x
    x = 20,166,116,559.53/189,395.76
  6. Step 6: Final answer
    x = 106,476.07

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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.