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Finding the Fourth Proportional to 109,253.88, 150,768 and 61,506.18

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Solution

The fourth proportional to 109,253.88, 150,768 and 61,506.18 is: 84,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,253.88 : 150,768 = 61,506.18 : x
  2. Step 2: Convert to fraction form
    109,253.88/150,768 = 61,506.18/x
  3. Step 3: Cross multiply
    109,253.88x = 150,768 × 61,506.18
  4. Step 4: Simplify right side
    109,253.88x = 9,273,163,746.24
  5. Step 5: Solve for x
    x = 9,273,163,746.24/109,253.88
  6. Step 6: Final answer
    x = 84,877.20

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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.