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Finding the Fourth Proportional to 77,893.17, 107,492.43 and 42,083.07

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Solution

The fourth proportional to 77,893.17, 107,492.43 and 42,083.07 is: 58,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,893.17 : 107,492.43 = 42,083.07 : x
  2. Step 2: Convert to fraction form
    77,893.17/107,492.43 = 42,083.07/x
  3. Step 3: Cross multiply
    77,893.17x = 107,492.43 × 42,083.07
  4. Step 4: Simplify right side
    77,893.17x = 4,523,611,210.87
  5. Step 5: Solve for x
    x = 4,523,611,210.87/77,893.17
  6. Step 6: Final answer
    x = 58,074.56

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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.