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Finding the Fourth Proportional to 65,306.40, 90,122 and 35,498.40

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Solution

The fourth proportional to 65,306.40, 90,122 and 35,498.40 is: 48,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.40 : 90,122 = 35,498.40 : x
  2. Step 2: Convert to fraction form
    65,306.40/90,122 = 35,498.40/x
  3. Step 3: Cross multiply
    65,306.40x = 90,122 × 35,498.40
  4. Step 4: Simplify right side
    65,306.40x = 3,199,186,804.80
  5. Step 5: Solve for x
    x = 3,199,186,804.80/65,306.40
  6. Step 6: Final answer
    x = 48,987.34

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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.