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Finding the Fourth Proportional to 255,689.72, 383,549.69 and 78,209.00

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Solution

The fourth proportional to 255,689.72, 383,549.69 and 78,209.00 is: 117,318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,689.72 : 383,549.69 = 78,209.00 : x
  2. Step 2: Convert to fraction form
    255,689.72/383,549.69 = 78,209.00/x
  3. Step 3: Cross multiply
    255,689.72x = 383,549.69 × 78,209.00
  4. Step 4: Simplify right side
    255,689.72x = 29,997,035,982.98
  5. Step 5: Solve for x
    x = 29,997,035,982.98/255,689.72
  6. Step 6: Final answer
    x = 117,318.12

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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.