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Finding the Fourth Proportional to 104,419.90, 156,678.45 and 54,556.30

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Solution

The fourth proportional to 104,419.90, 156,678.45 and 54,556.30 is: 81,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,419.90 : 156,678.45 = 54,556.30 : x
  2. Step 2: Convert to fraction form
    104,419.90/156,678.45 = 54,556.30/x
  3. Step 3: Cross multiply
    104,419.90x = 156,678.45 × 54,556.30
  4. Step 4: Simplify right side
    104,419.90x = 8,547,796,521.74
  5. Step 5: Solve for x
    x = 8,547,796,521.74/104,419.90
  6. Step 6: Final answer
    x = 81,859.84

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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.