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Finding the Fourth Proportional to 65,446.40, 90,315.36 and 35,638.40

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Solution

The fourth proportional to 65,446.40, 90,315.36 and 35,638.40 is: 49,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,446.40 : 90,315.36 = 35,638.40 : x
  2. Step 2: Convert to fraction form
    65,446.40/90,315.36 = 35,638.40/x
  3. Step 3: Cross multiply
    65,446.40x = 90,315.36 × 35,638.40
  4. Step 4: Simplify right side
    65,446.40x = 3,218,694,925.82
  5. Step 5: Solve for x
    x = 3,218,694,925.82/65,446.40
  6. Step 6: Final answer
    x = 49,180.63

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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.