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Finding the Fourth Proportional to 111,947, 154,486.86 and 61,646

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Solution

The fourth proportional to 111,947, 154,486.86 and 61,646 is: 85,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,947 : 154,486.86 = 61,646 : x
  2. Step 2: Convert to fraction form
    111,947/154,486.86 = 61,646/x
  3. Step 3: Cross multiply
    111,947x = 154,486.86 × 61,646
  4. Step 4: Simplify right side
    111,947x = 9,523,496,971.56
  5. Step 5: Solve for x
    x = 9,523,496,971.56/111,947
  6. Step 6: Final answer
    x = 85,071.48

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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.