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Finding the Fourth Proportional to 102,031.48, 140,797.74 and 57,319.48

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Solution

The fourth proportional to 102,031.48, 140,797.74 and 57,319.48 is: 79,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,031.48 : 140,797.74 = 57,319.48 : x
  2. Step 2: Convert to fraction form
    102,031.48/140,797.74 = 57,319.48/x
  3. Step 3: Cross multiply
    102,031.48x = 140,797.74 × 57,319.48
  4. Step 4: Simplify right side
    102,031.48x = 8,070,453,241.98
  5. Step 5: Solve for x
    x = 8,070,453,241.98/102,031.48
  6. Step 6: Final answer
    x = 79,097.68

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1.5x scale

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.