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Finding the Fourth Proportional to 255,213.54, 382,875.66 and 77,715.90

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Solution

The fourth proportional to 255,213.54, 382,875.66 and 77,715.90 is: 116,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,213.54 : 382,875.66 = 77,715.90 : x
  2. Step 2: Convert to fraction form
    255,213.54/382,875.66 = 77,715.90/x
  3. Step 3: Cross multiply
    255,213.54x = 382,875.66 × 77,715.90
  4. Step 4: Simplify right side
    255,213.54x = 29,755,526,504.99
  5. Step 5: Solve for x
    x = 29,755,526,504.99/255,213.54
  6. Step 6: Final answer
    x = 116,590.70

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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.