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Finding the Fourth Proportional to 255,292.54, 382,953.21 and 77,805.34

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Solution

The fourth proportional to 255,292.54, 382,953.21 and 77,805.34 is: 116,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,292.54 : 382,953.21 = 77,805.34 : x
  2. Step 2: Convert to fraction form
    255,292.54/382,953.21 = 77,805.34/x
  3. Step 3: Cross multiply
    255,292.54x = 382,953.21 × 77,805.34
  4. Step 4: Simplify right side
    255,292.54x = 29,795,803,458.99
  5. Step 5: Solve for x
    x = 29,795,803,458.99/255,292.54
  6. Step 6: Final answer
    x = 116,712.39

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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.