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Finding the Fourth Proportional to 134,277.70, 185,288.70 and 77,678.50

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Solution

The fourth proportional to 134,277.70, 185,288.70 and 77,678.50 is: 107,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,277.70 : 185,288.70 = 77,678.50 : x
  2. Step 2: Convert to fraction form
    134,277.70/185,288.70 = 77,678.50/x
  3. Step 3: Cross multiply
    134,277.70x = 185,288.70 × 77,678.50
  4. Step 4: Simplify right side
    134,277.70x = 14,392,948,282.95
  5. Step 5: Solve for x
    x = 14,392,948,282.95/134,277.70
  6. Step 6: Final answer
    x = 107,187.93

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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.