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Finding the Fourth Proportional to 199,442.73, 275,332.50 and 154,018.74

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Solution

The fourth proportional to 199,442.73, 275,332.50 and 154,018.74 is: 212,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,442.73 : 275,332.50 = 154,018.74 : x
  2. Step 2: Convert to fraction form
    199,442.73/275,332.50 = 154,018.74/x
  3. Step 3: Cross multiply
    199,442.73x = 275,332.50 × 154,018.74
  4. Step 4: Simplify right side
    199,442.73x = 42,406,364,731.05
  5. Step 5: Solve for x
    x = 42,406,364,731.05/199,442.73
  6. Step 6: Final answer
    x = 212,624.27

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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.