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Finding the Fourth Proportional to 189,841.60, 284,740.80 and 49,614.40

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Solution

The fourth proportional to 189,841.60, 284,740.80 and 49,614.40 is: 74,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,841.60 : 284,740.80 = 49,614.40 : x
  2. Step 2: Convert to fraction form
    189,841.60/284,740.80 = 49,614.40/x
  3. Step 3: Cross multiply
    189,841.60x = 284,740.80 × 49,614.40
  4. Step 4: Simplify right side
    189,841.60x = 14,127,243,947.52
  5. Step 5: Solve for x
    x = 14,127,243,947.52/189,841.60
  6. Step 6: Final answer
    x = 74,415.95

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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.