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Finding the Fourth Proportional to 100,700.34, 138,963.52 and 55,378.28

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Solution

The fourth proportional to 100,700.34, 138,963.52 and 55,378.28 is: 76,420.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.34 : 138,963.52 = 55,378.28 : x
  2. Step 2: Convert to fraction form
    100,700.34/138,963.52 = 55,378.28/x
  3. Step 3: Cross multiply
    100,700.34x = 138,963.52 × 55,378.28
  4. Step 4: Simplify right side
    100,700.34x = 7,695,560,720.35
  5. Step 5: Solve for x
    x = 7,695,560,720.35/100,700.34
  6. Step 6: Final answer
    x = 76,420.40

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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.