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Finding the Fourth Proportional to 78,173.11, 107,878.62 and 42,364

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Solution

The fourth proportional to 78,173.11, 107,878.62 and 42,364 is: 58,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,173.11 : 107,878.62 = 42,364 : x
  2. Step 2: Convert to fraction form
    78,173.11/107,878.62 = 42,364/x
  3. Step 3: Cross multiply
    78,173.11x = 107,878.62 × 42,364
  4. Step 4: Simplify right side
    78,173.11x = 4,570,169,857.68
  5. Step 5: Solve for x
    x = 4,570,169,857.68/78,173.11
  6. Step 6: Final answer
    x = 58,462.17

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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.