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Finding the Fourth Proportional to 101,962.93, 140,704.92 and 56,643.76

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Solution

The fourth proportional to 101,962.93, 140,704.92 and 56,643.76 is: 78,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962.93 : 140,704.92 = 56,643.76 : x
  2. Step 2: Convert to fraction form
    101,962.93/140,704.92 = 56,643.76/x
  3. Step 3: Cross multiply
    101,962.93x = 140,704.92 × 56,643.76
  4. Step 4: Simplify right side
    101,962.93x = 7,970,055,015.77
  5. Step 5: Solve for x
    x = 7,970,055,015.77/101,962.93
  6. Step 6: Final answer
    x = 78,166.21

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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.