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Finding the Fourth Proportional to 77,601, 107,089.38 and 42,273

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Solution

The fourth proportional to 77,601, 107,089.38 and 42,273 is: 58,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,601 : 107,089.38 = 42,273 : x
  2. Step 2: Convert to fraction form
    77,601/107,089.38 = 42,273/x
  3. Step 3: Cross multiply
    77,601x = 107,089.38 × 42,273
  4. Step 4: Simplify right side
    77,601x = 4,526,989,360.74
  5. Step 5: Solve for x
    x = 4,526,989,360.74/77,601
  6. Step 6: Final answer
    x = 58,336.74

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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.