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Finding the Fourth Proportional to 189,901.68, 284,875.56 and 65,270.64

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Solution

The fourth proportional to 189,901.68, 284,875.56 and 65,270.64 is: 97,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,901.68 : 284,875.56 = 65,270.64 : x
  2. Step 2: Convert to fraction form
    189,901.68/284,875.56 = 65,270.64/x
  3. Step 3: Cross multiply
    189,901.68x = 284,875.56 × 65,270.64
  4. Step 4: Simplify right side
    189,901.68x = 18,594,010,121.56
  5. Step 5: Solve for x
    x = 18,594,010,121.56/189,901.68
  6. Step 6: Final answer
    x = 97,913.88

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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.