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Finding the Fourth Proportional to 104,860.83, 157,135.72 and 77,022.75

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Solution

The fourth proportional to 104,860.83, 157,135.72 and 77,022.75 is: 115,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,860.83 : 157,135.72 = 77,022.75 : x
  2. Step 2: Convert to fraction form
    104,860.83/157,135.72 = 77,022.75/x
  3. Step 3: Cross multiply
    104,860.83x = 157,135.72 × 77,022.75
  4. Step 4: Simplify right side
    104,860.83x = 12,103,025,277.63
  5. Step 5: Solve for x
    x = 12,103,025,277.63/104,860.83
  6. Step 6: Final answer
    x = 115,419.89

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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.