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Finding the Fourth Proportional to 134,873.10, 186,110.46 and 77,500.80

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Solution

The fourth proportional to 134,873.10, 186,110.46 and 77,500.80 is: 106,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,873.10 : 186,110.46 = 77,500.80 : x
  2. Step 2: Convert to fraction form
    134,873.10/186,110.46 = 77,500.80/x
  3. Step 3: Cross multiply
    134,873.10x = 186,110.46 × 77,500.80
  4. Step 4: Simplify right side
    134,873.10x = 14,423,709,538.37
  5. Step 5: Solve for x
    x = 14,423,709,538.37/134,873.10
  6. Step 6: Final answer
    x = 106,942.82

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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.