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Finding the Fourth Proportional to 254,897.17, 382,320.90 and 77,405.71

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Solution

The fourth proportional to 254,897.17, 382,320.90 and 77,405.71 is: 116,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,897.17 : 382,320.90 = 77,405.71 : x
  2. Step 2: Convert to fraction form
    254,897.17/382,320.90 = 77,405.71/x
  3. Step 3: Cross multiply
    254,897.17x = 382,320.90 × 77,405.71
  4. Step 4: Simplify right side
    254,897.17x = 29,593,820,712.34
  5. Step 5: Solve for x
    x = 29,593,820,712.34/254,897.17
  6. Step 6: Final answer
    x = 116,101.02

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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.