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Finding the Fourth Proportional to 259,018.62, 388,590.12 and 99,091.92

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Solution

The fourth proportional to 259,018.62, 388,590.12 and 99,091.92 is: 148,661.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,018.62 : 388,590.12 = 99,091.92 : x
  2. Step 2: Convert to fraction form
    259,018.62/388,590.12 = 99,091.92/x
  3. Step 3: Cross multiply
    259,018.62x = 388,590.12 × 99,091.92
  4. Step 4: Simplify right side
    259,018.62x = 38,506,141,083.83
  5. Step 5: Solve for x
    x = 38,506,141,083.83/259,018.62
  6. Step 6: Final answer
    x = 148,661.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.