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Finding the Fourth Proportional to 189,895.60, 284,859.66 and 49,654

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Solution

The fourth proportional to 189,895.60, 284,859.66 and 49,654 is: 74,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,895.60 : 284,859.66 = 49,654 : x
  2. Step 2: Convert to fraction form
    189,895.60/284,859.66 = 49,654/x
  3. Step 3: Cross multiply
    189,895.60x = 284,859.66 × 49,654
  4. Step 4: Simplify right side
    189,895.60x = 14,144,421,557.64
  5. Step 5: Solve for x
    x = 14,144,421,557.64/189,895.60
  6. Step 6: Final answer
    x = 74,485.25

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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.