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Finding the Fourth Proportional to 255,430.96, 383,192.92 and 105,589.87

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Solution

The fourth proportional to 255,430.96, 383,192.92 and 105,589.87 is: 158,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,430.96 : 383,192.92 = 105,589.87 : x
  2. Step 2: Convert to fraction form
    255,430.96/383,192.92 = 105,589.87/x
  3. Step 3: Cross multiply
    255,430.96x = 383,192.92 × 105,589.87
  4. Step 4: Simplify right side
    255,430.96x = 40,461,291,301.73
  5. Step 5: Solve for x
    x = 40,461,291,301.73/255,430.96
  6. Step 6: Final answer
    x = 158,404.02

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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.