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Finding the Fourth Proportional to 111,678, 154,115.64 and 61,377

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Solution

The fourth proportional to 111,678, 154,115.64 and 61,377 is: 84,700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,678 : 154,115.64 = 61,377 : x
  2. Step 2: Convert to fraction form
    111,678/154,115.64 = 61,377/x
  3. Step 3: Cross multiply
    111,678x = 154,115.64 × 61,377
  4. Step 4: Simplify right side
    111,678x = 9,459,155,636.28
  5. Step 5: Solve for x
    x = 9,459,155,636.28/111,678
  6. Step 6: Final answer
    x = 84,700.26

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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.