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Finding the Fourth Proportional to 254,686.74, 382,106.43 and 102,805.62

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Solution

The fourth proportional to 254,686.74, 382,106.43 and 102,805.62 is: 154,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,686.74 : 382,106.43 = 102,805.62 : x
  2. Step 2: Convert to fraction form
    254,686.74/382,106.43 = 102,805.62/x
  3. Step 3: Cross multiply
    254,686.74x = 382,106.43 × 102,805.62
  4. Step 4: Simplify right side
    254,686.74x = 39,282,688,442.14
  5. Step 5: Solve for x
    x = 39,282,688,442.14/254,686.74
  6. Step 6: Final answer
    x = 154,239.24

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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.