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Finding the Fourth Proportional to 102,075.55, 140,861.16 and 56,754.52

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Solution

The fourth proportional to 102,075.55, 140,861.16 and 56,754.52 is: 78,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075.55 : 140,861.16 = 56,754.52 : x
  2. Step 2: Convert to fraction form
    102,075.55/140,861.16 = 56,754.52/x
  3. Step 3: Cross multiply
    102,075.55x = 140,861.16 × 56,754.52
  4. Step 4: Simplify right side
    102,075.55x = 7,994,507,170.29
  5. Step 5: Solve for x
    x = 7,994,507,170.29/102,075.55
  6. Step 6: Final answer
    x = 78,319.51

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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.