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Finding the Fourth Proportional to 77,894.47, 107,494.40 and 42,084.41

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Solution

The fourth proportional to 77,894.47, 107,494.40 and 42,084.41 is: 58,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894.47 : 107,494.40 = 42,084.41 : x
  2. Step 2: Convert to fraction form
    77,894.47/107,494.40 = 42,084.41/x
  3. Step 3: Cross multiply
    77,894.47x = 107,494.40 × 42,084.41
  4. Step 4: Simplify right side
    77,894.47x = 4,523,838,402.30
  5. Step 5: Solve for x
    x = 4,523,838,402.30/77,894.47
  6. Step 6: Final answer
    x = 58,076.50

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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.