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Finding the Fourth Proportional to 255,741.40, 383,612.10 and 89,546.20

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Solution

The fourth proportional to 255,741.40, 383,612.10 and 89,546.20 is: 134,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,741.40 : 383,612.10 = 89,546.20 : x
  2. Step 2: Convert to fraction form
    255,741.40/383,612.10 = 89,546.20/x
  3. Step 3: Cross multiply
    255,741.40x = 383,612.10 × 89,546.20
  4. Step 4: Simplify right side
    255,741.40x = 34,351,005,829.02
  5. Step 5: Solve for x
    x = 34,351,005,829.02/255,741.40
  6. Step 6: Final answer
    x = 134,319.30

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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.