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Finding the Fourth Proportional to 77,629, 107,145.30 and 49,329.16

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Solution

The fourth proportional to 77,629, 107,145.30 and 49,329.16 is: 68,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,629 : 107,145.30 = 49,329.16 : x
  2. Step 2: Convert to fraction form
    77,629/107,145.30 = 49,329.16/x
  3. Step 3: Cross multiply
    77,629x = 107,145.30 × 49,329.16
  4. Step 4: Simplify right side
    77,629x = 5,285,387,646.95
  5. Step 5: Solve for x
    x = 5,285,387,646.95/77,629
  6. Step 6: Final answer
    x = 68,085.22

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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.