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Finding the Fourth Proportional to 104,857.80, 144,842.25 and 77,689.08

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Solution

The fourth proportional to 104,857.80, 144,842.25 and 77,689.08 is: 107,313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,857.80 : 144,842.25 = 77,689.08 : x
  2. Step 2: Convert to fraction form
    104,857.80/144,842.25 = 77,689.08/x
  3. Step 3: Cross multiply
    104,857.80x = 144,842.25 × 77,689.08
  4. Step 4: Simplify right side
    104,857.80x = 11,252,661,147.63
  5. Step 5: Solve for x
    x = 11,252,661,147.63/104,857.80
  6. Step 6: Final answer
    x = 107,313.53

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1.5x scale

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.