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Finding the Fourth Proportional to 70,664, 106,044.60 and 29,111

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Solution

The fourth proportional to 70,664, 106,044.60 and 29,111 is: 43,686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,664 : 106,044.60 = 29,111 : x
  2. Step 2: Convert to fraction form
    70,664/106,044.60 = 29,111/x
  3. Step 3: Cross multiply
    70,664x = 106,044.60 × 29,111
  4. Step 4: Simplify right side
    70,664x = 3,087,064,350.60
  5. Step 5: Solve for x
    x = 3,087,064,350.60/70,664
  6. Step 6: Final answer
    x = 43,686.52

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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.