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Finding the Fourth Proportional to 189,901.59, 284,852.38 and 49,659

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Solution

The fourth proportional to 189,901.59, 284,852.38 and 49,659 is: 74,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,901.59 : 284,852.38 = 49,659 : x
  2. Step 2: Convert to fraction form
    189,901.59/284,852.38 = 49,659/x
  3. Step 3: Cross multiply
    189,901.59x = 284,852.38 × 49,659
  4. Step 4: Simplify right side
    189,901.59x = 14,145,484,338.42
  5. Step 5: Solve for x
    x = 14,145,484,338.42/189,901.59
  6. Step 6: Final answer
    x = 74,488.50

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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.