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Finding the Fourth Proportional to 255,809.01, 383,714.64 and 66,255.92

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Solution

The fourth proportional to 255,809.01, 383,714.64 and 66,255.92 is: 99,384.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809.01 : 383,714.64 = 66,255.92 : x
  2. Step 2: Convert to fraction form
    255,809.01/383,714.64 = 66,255.92/x
  3. Step 3: Cross multiply
    255,809.01x = 383,714.64 × 66,255.92
  4. Step 4: Simplify right side
    255,809.01x = 25,423,364,572.10
  5. Step 5: Solve for x
    x = 25,423,364,572.10/255,809.01
  6. Step 6: Final answer
    x = 99,384.16

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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.