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Finding the Fourth Proportional to 255,332.34, 382,984.69 and 77,825.55

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Solution

The fourth proportional to 255,332.34, 382,984.69 and 77,825.55 is: 116,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,332.34 : 382,984.69 = 77,825.55 : x
  2. Step 2: Convert to fraction form
    255,332.34/382,984.69 = 77,825.55/x
  3. Step 3: Cross multiply
    255,332.34x = 382,984.69 × 77,825.55
  4. Step 4: Simplify right side
    255,332.34x = 29,805,994,140.83
  5. Step 5: Solve for x
    x = 29,805,994,140.83/255,332.34
  6. Step 6: Final answer
    x = 116,734.11

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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.