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Finding the Fourth Proportional to 77,881.92, 107,476.98 and 42,071.92

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Solution

The fourth proportional to 77,881.92, 107,476.98 and 42,071.92 is: 58,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,881.92 : 107,476.98 = 42,071.92 : x
  2. Step 2: Convert to fraction form
    77,881.92/107,476.98 = 42,071.92/x
  3. Step 3: Cross multiply
    77,881.92x = 107,476.98 × 42,071.92
  4. Step 4: Simplify right side
    77,881.92x = 4,521,763,009.58
  5. Step 5: Solve for x
    x = 4,521,763,009.58/77,881.92
  6. Step 6: Final answer
    x = 58,059.21

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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.