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Finding the Fourth Proportional to 189,585.92, 284,394 and 64,928

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Solution

The fourth proportional to 189,585.92, 284,394 and 64,928 is: 97,397.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,585.92 : 284,394 = 64,928 : x
  2. Step 2: Convert to fraction form
    189,585.92/284,394 = 64,928/x
  3. Step 3: Cross multiply
    189,585.92x = 284,394 × 64,928
  4. Step 4: Simplify right side
    189,585.92x = 18,465,133,632
  5. Step 5: Solve for x
    x = 18,465,133,632/189,585.92
  6. Step 6: Final answer
    x = 97,397.18

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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.