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Finding the Fourth Proportional to 99,178, 136,865.64 and 54,466

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Solution

The fourth proportional to 99,178, 136,865.64 and 54,466 is: 75,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178 : 136,865.64 = 54,466 : x
  2. Step 2: Convert to fraction form
    99,178/136,865.64 = 54,466/x
  3. Step 3: Cross multiply
    99,178x = 136,865.64 × 54,466
  4. Step 4: Simplify right side
    99,178x = 7,454,523,948.24
  5. Step 5: Solve for x
    x = 7,454,523,948.24/99,178
  6. Step 6: Final answer
    x = 75,163.08

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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.