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Finding the Fourth Proportional to 188,781.78, 260,523.72 and 102,746.40

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Solution

The fourth proportional to 188,781.78, 260,523.72 and 102,746.40 is: 141,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,781.78 : 260,523.72 = 102,746.40 : x
  2. Step 2: Convert to fraction form
    188,781.78/260,523.72 = 102,746.40/x
  3. Step 3: Cross multiply
    188,781.78x = 260,523.72 × 102,746.40
  4. Step 4: Simplify right side
    188,781.78x = 26,767,874,344.61
  5. Step 5: Solve for x
    x = 26,767,874,344.61/188,781.78
  6. Step 6: Final answer
    x = 141,792.68

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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.