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Finding the Fourth Proportional to 77,839.64, 107,386.86 and 57,470.48

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Solution

The fourth proportional to 77,839.64, 107,386.86 and 57,470.48 is: 79,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,839.64 : 107,386.86 = 57,470.48 : x
  2. Step 2: Convert to fraction form
    77,839.64/107,386.86 = 57,470.48/x
  3. Step 3: Cross multiply
    77,839.64x = 107,386.86 × 57,470.48
  4. Step 4: Simplify right side
    77,839.64x = 6,171,574,389.89
  5. Step 5: Solve for x
    x = 6,171,574,389.89/77,839.64
  6. Step 6: Final answer
    x = 79,285.75

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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.