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Finding the Fourth Proportional to 65,506.12, 90,398.42 and 35,698.12

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Solution

The fourth proportional to 65,506.12, 90,398.42 and 35,698.12 is: 49,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506.12 : 90,398.42 = 35,698.12 : x
  2. Step 2: Convert to fraction form
    65,506.12/90,398.42 = 35,698.12/x
  3. Step 3: Cross multiply
    65,506.12x = 90,398.42 × 35,698.12
  4. Step 4: Simplify right side
    65,506.12x = 3,227,053,644.97
  5. Step 5: Solve for x
    x = 3,227,053,644.97/65,506.12
  6. Step 6: Final answer
    x = 49,263.39

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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.