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Finding the Fourth Proportional to 101,962.60, 140,712.69 and 56,640.36

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Solution

The fourth proportional to 101,962.60, 140,712.69 and 56,640.36 is: 78,166.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962.60 : 140,712.69 = 56,640.36 : x
  2. Step 2: Convert to fraction form
    101,962.60/140,712.69 = 56,640.36/x
  3. Step 3: Cross multiply
    101,962.60x = 140,712.69 × 56,640.36
  4. Step 4: Simplify right side
    101,962.60x = 7,970,018,158.24
  5. Step 5: Solve for x
    x = 7,970,018,158.24/101,962.60
  6. Step 6: Final answer
    x = 78,166.10

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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.