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Finding the Fourth Proportional to 109,777.74, 164,929.32 and 70,411.74

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Solution

The fourth proportional to 109,777.74, 164,929.32 and 70,411.74 is: 105,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,777.74 : 164,929.32 = 70,411.74 : x
  2. Step 2: Convert to fraction form
    109,777.74/164,929.32 = 70,411.74/x
  3. Step 3: Cross multiply
    109,777.74x = 164,929.32 × 70,411.74
  4. Step 4: Simplify right side
    109,777.74x = 11,612,960,398.22
  5. Step 5: Solve for x
    x = 11,612,960,398.22/109,777.74
  6. Step 6: Final answer
    x = 105,786.11

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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.