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Finding the Fourth Proportional to 112,049.28, 154,627.25 and 61,748.28

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Solution

The fourth proportional to 112,049.28, 154,627.25 and 61,748.28 is: 85,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,049.28 : 154,627.25 = 61,748.28 : x
  2. Step 2: Convert to fraction form
    112,049.28/154,627.25 = 61,748.28/x
  3. Step 3: Cross multiply
    112,049.28x = 154,627.25 × 61,748.28
  4. Step 4: Simplify right side
    112,049.28x = 9,547,966,419.89
  5. Step 5: Solve for x
    x = 9,547,966,419.89/112,049.28
  6. Step 6: Final answer
    x = 85,212.21

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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.