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Finding the Fourth Proportional to 134,665.96, 185,821.54 and 77,307.78

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Solution

The fourth proportional to 134,665.96, 185,821.54 and 77,307.78 is: 106,674.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,665.96 : 185,821.54 = 77,307.78 : x
  2. Step 2: Convert to fraction form
    134,665.96/185,821.54 = 77,307.78/x
  3. Step 3: Cross multiply
    134,665.96x = 185,821.54 × 77,307.78
  4. Step 4: Simplify right side
    134,665.96x = 14,365,451,527.05
  5. Step 5: Solve for x
    x = 14,365,451,527.05/134,665.96
  6. Step 6: Final answer
    x = 106,674.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.