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Finding the Fourth Proportional to 114,857.71, 172,110.70 and 77,278.57

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Solution

The fourth proportional to 114,857.71, 172,110.70 and 77,278.57 is: 115,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,857.71 : 172,110.70 = 77,278.57 : x
  2. Step 2: Convert to fraction form
    114,857.71/172,110.70 = 77,278.57/x
  3. Step 3: Cross multiply
    114,857.71x = 172,110.70 × 77,278.57
  4. Step 4: Simplify right side
    114,857.71x = 13,300,468,777.70
  5. Step 5: Solve for x
    x = 13,300,468,777.70/114,857.71
  6. Step 6: Final answer
    x = 115,799.53

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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.