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Finding the Fourth Proportional to 255,227.87, 382,897.22 and 77,730.21

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Solution

The fourth proportional to 255,227.87, 382,897.22 and 77,730.21 is: 116,612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,227.87 : 382,897.22 = 77,730.21 : x
  2. Step 2: Convert to fraction form
    255,227.87/382,897.22 = 77,730.21/x
  3. Step 3: Cross multiply
    255,227.87x = 382,897.22 × 77,730.21
  4. Step 4: Simplify right side
    255,227.87x = 29,762,680,930.37
  5. Step 5: Solve for x
    x = 29,762,680,930.37/255,227.87
  6. Step 6: Final answer
    x = 116,612.19

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1.5x scale

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.