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Finding the Fourth Proportional to 242,878.82, 364,342.52 and 74,397.20

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Solution

The fourth proportional to 242,878.82, 364,342.52 and 74,397.20 is: 111,603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,878.82 : 364,342.52 = 74,397.20 : x
  2. Step 2: Convert to fraction form
    242,878.82/364,342.52 = 74,397.20/x
  3. Step 3: Cross multiply
    242,878.82x = 364,342.52 × 74,397.20
  4. Step 4: Simplify right side
    242,878.82x = 27,106,061,135.25
  5. Step 5: Solve for x
    x = 27,106,061,135.25/242,878.82
  6. Step 6: Final answer
    x = 111,603.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.