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Finding the Fourth Proportional to 154,209.72, 212,911.02 and 99,864.12

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Solution

The fourth proportional to 154,209.72, 212,911.02 and 99,864.12 is: 137,878.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,209.72 : 212,911.02 = 99,864.12 : x
  2. Step 2: Convert to fraction form
    154,209.72/212,911.02 = 99,864.12/x
  3. Step 3: Cross multiply
    154,209.72x = 212,911.02 × 99,864.12
  4. Step 4: Simplify right side
    154,209.72x = 21,262,171,650.60
  5. Step 5: Solve for x
    x = 21,262,171,650.60/154,209.72
  6. Step 6: Final answer
    x = 137,878.28

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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.