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Finding the Fourth Proportional to 101,956.88, 140,695.74 and 56,637.80

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Solution

The fourth proportional to 101,956.88, 140,695.74 and 56,637.80 is: 78,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,956.88 : 140,695.74 = 56,637.80 : x
  2. Step 2: Convert to fraction form
    101,956.88/140,695.74 = 56,637.80/x
  3. Step 3: Cross multiply
    101,956.88x = 140,695.74 × 56,637.80
  4. Step 4: Simplify right side
    101,956.88x = 7,968,697,182.97
  5. Step 5: Solve for x
    x = 7,968,697,182.97/101,956.88
  6. Step 6: Final answer
    x = 78,157.52

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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.