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Finding the Fourth Proportional to 77,838, 107,416.56 and 44,304

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Solution

The fourth proportional to 77,838, 107,416.56 and 44,304 is: 61,139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,838 : 107,416.56 = 44,304 : x
  2. Step 2: Convert to fraction form
    77,838/107,416.56 = 44,304/x
  3. Step 3: Cross multiply
    77,838x = 107,416.56 × 44,304
  4. Step 4: Simplify right side
    77,838x = 4,758,983,274.24
  5. Step 5: Solve for x
    x = 4,758,983,274.24/77,838
  6. Step 6: Final answer
    x = 61,139.59

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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.