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Finding the Fourth Proportional to 102,080.64, 140,868.64 and 56,756.28

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Solution

The fourth proportional to 102,080.64, 140,868.64 and 56,756.28 is: 78,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,080.64 : 140,868.64 = 56,756.28 : x
  2. Step 2: Convert to fraction form
    102,080.64/140,868.64 = 56,756.28/x
  3. Step 3: Cross multiply
    102,080.64x = 140,868.64 × 56,756.28
  4. Step 4: Simplify right side
    102,080.64x = 7,995,179,975.06
  5. Step 5: Solve for x
    x = 7,995,179,975.06/102,080.64
  6. Step 6: Final answer
    x = 78,322.20

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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.