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Finding the Fourth Proportional to 112,000, 154,560 and 61,700.08

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Solution

The fourth proportional to 112,000, 154,560 and 61,700.08 is: 85,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,000 : 154,560 = 61,700.08 : x
  2. Step 2: Convert to fraction form
    112,000/154,560 = 61,700.08/x
  3. Step 3: Cross multiply
    112,000x = 154,560 × 61,700.08
  4. Step 4: Simplify right side
    112,000x = 9,536,364,364.80
  5. Step 5: Solve for x
    x = 9,536,364,364.80/112,000
  6. Step 6: Final answer
    x = 85,146.11

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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.