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Finding the Fourth Proportional to 112,013.44, 154,578.56 and 61,712

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Solution

The fourth proportional to 112,013.44, 154,578.56 and 61,712 is: 85,162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,013.44 : 154,578.56 = 61,712 : x
  2. Step 2: Convert to fraction form
    112,013.44/154,578.56 = 61,712/x
  3. Step 3: Cross multiply
    112,013.44x = 154,578.56 × 61,712
  4. Step 4: Simplify right side
    112,013.44x = 9,539,352,094.72
  5. Step 5: Solve for x
    x = 9,539,352,094.72/112,013.44
  6. Step 6: Final answer
    x = 85,162.57

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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.