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Finding the Fourth Proportional to 101,970.12, 140,716.80 and 56,647.92

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Solution

The fourth proportional to 101,970.12, 140,716.80 and 56,647.92 is: 78,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.12 : 140,716.80 = 56,647.92 : x
  2. Step 2: Convert to fraction form
    101,970.12/140,716.80 = 56,647.92/x
  3. Step 3: Cross multiply
    101,970.12x = 140,716.80 × 56,647.92
  4. Step 4: Simplify right side
    101,970.12x = 7,971,314,029.06
  5. Step 5: Solve for x
    x = 7,971,314,029.06/101,970.12
  6. Step 6: Final answer
    x = 78,173.04

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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.