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Finding the Fourth Proportional to 101,802.30, 140,524.47 and 61,517.58

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Solution

The fourth proportional to 101,802.30, 140,524.47 and 61,517.58 is: 84,916.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,802.30 : 140,524.47 = 61,517.58 : x
  2. Step 2: Convert to fraction form
    101,802.30/140,524.47 = 61,517.58/x
  3. Step 3: Cross multiply
    101,802.30x = 140,524.47 × 61,517.58
  4. Step 4: Simplify right side
    101,802.30x = 8,644,725,325.18
  5. Step 5: Solve for x
    x = 8,644,725,325.18/101,802.30
  6. Step 6: Final answer
    x = 84,916.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.