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Finding the Fourth Proportional to 189,893.60, 284,818.80 and 49,666.40

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Solution

The fourth proportional to 189,893.60, 284,818.80 and 49,666.40 is: 74,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,893.60 : 284,818.80 = 49,666.40 : x
  2. Step 2: Convert to fraction form
    189,893.60/284,818.80 = 49,666.40/x
  3. Step 3: Cross multiply
    189,893.60x = 284,818.80 × 49,666.40
  4. Step 4: Simplify right side
    189,893.60x = 14,145,924,448.32
  5. Step 5: Solve for x
    x = 14,145,924,448.32/189,893.60
  6. Step 6: Final answer
    x = 74,493.95

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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.