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Finding the Fourth Proportional to 77,784.88, 107,356.54 and 45,074.71

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Solution

The fourth proportional to 77,784.88, 107,356.54 and 45,074.71 is: 62,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784.88 : 107,356.54 = 45,074.71 : x
  2. Step 2: Convert to fraction form
    77,784.88/107,356.54 = 45,074.71/x
  3. Step 3: Cross multiply
    77,784.88x = 107,356.54 × 45,074.71
  4. Step 4: Simplify right side
    77,784.88x = 4,839,064,907.10
  5. Step 5: Solve for x
    x = 4,839,064,907.10/77,784.88
  6. Step 6: Final answer
    x = 62,210.87

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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.