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Finding the Fourth Proportional to 77,883.06, 107,478.66 and 42,073.06

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Solution

The fourth proportional to 77,883.06, 107,478.66 and 42,073.06 is: 58,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,883.06 : 107,478.66 = 42,073.06 : x
  2. Step 2: Convert to fraction form
    77,883.06/107,478.66 = 42,073.06/x
  3. Step 3: Cross multiply
    77,883.06x = 107,478.66 × 42,073.06
  4. Step 4: Simplify right side
    77,883.06x = 4,521,956,110.90
  5. Step 5: Solve for x
    x = 4,521,956,110.90/77,883.06
  6. Step 6: Final answer
    x = 58,060.84

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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.