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Finding the Fourth Proportional to 255,787.16, 383,615.27 and 75,830.51

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Solution

The fourth proportional to 255,787.16, 383,615.27 and 75,830.51 is: 113,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,787.16 : 383,615.27 = 75,830.51 : x
  2. Step 2: Convert to fraction form
    255,787.16/383,615.27 = 75,830.51/x
  3. Step 3: Cross multiply
    255,787.16x = 383,615.27 × 75,830.51
  4. Step 4: Simplify right side
    255,787.16x = 29,089,739,649.81
  5. Step 5: Solve for x
    x = 29,089,739,649.81/255,787.16
  6. Step 6: Final answer
    x = 113,726.35

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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.