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Finding the Fourth Proportional to 255,265.16, 383,026.90 and 105,612.84

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Solution

The fourth proportional to 255,265.16, 383,026.90 and 105,612.84 is: 158,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,265.16 : 383,026.90 = 105,612.84 : x
  2. Step 2: Convert to fraction form
    255,265.16/383,026.90 = 105,612.84/x
  3. Step 3: Cross multiply
    255,265.16x = 383,026.90 × 105,612.84
  4. Step 4: Simplify right side
    255,265.16x = 40,452,558,705.40
  5. Step 5: Solve for x
    x = 40,452,558,705.40/255,265.16
  6. Step 6: Final answer
    x = 158,472.70

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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.