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Finding the Fourth Proportional to 255,323.63, 383,035.86 and 75,412.13

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Solution

The fourth proportional to 255,323.63, 383,035.86 and 75,412.13 is: 113,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,323.63 : 383,035.86 = 75,412.13 : x
  2. Step 2: Convert to fraction form
    255,323.63/383,035.86 = 75,412.13/x
  3. Step 3: Cross multiply
    255,323.63x = 383,035.86 × 75,412.13
  4. Step 4: Simplify right side
    255,323.63x = 28,885,548,153.80
  5. Step 5: Solve for x
    x = 28,885,548,153.80/255,323.63
  6. Step 6: Final answer
    x = 113,133.08

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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.