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Finding the Fourth Proportional to 258,199.83, 387,150.75 and 100,243.76

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Solution

The fourth proportional to 258,199.83, 387,150.75 and 100,243.76 is: 150,307.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,199.83 : 387,150.75 = 100,243.76 : x
  2. Step 2: Convert to fraction form
    258,199.83/387,150.75 = 100,243.76/x
  3. Step 3: Cross multiply
    258,199.83x = 387,150.75 × 100,243.76
  4. Step 4: Simplify right side
    258,199.83x = 38,809,444,931.07
  5. Step 5: Solve for x
    x = 38,809,444,931.07/258,199.83
  6. Step 6: Final answer
    x = 150,307.79

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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.