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Finding the Fourth Proportional to 65,853.47, 90,877.80 and 35,638.80

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Solution

The fourth proportional to 65,853.47, 90,877.80 and 35,638.80 is: 49,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,853.47 : 90,877.80 = 35,638.80 : x
  2. Step 2: Convert to fraction form
    65,853.47/90,877.80 = 35,638.80/x
  3. Step 3: Cross multiply
    65,853.47x = 90,877.80 × 35,638.80
  4. Step 4: Simplify right side
    65,853.47x = 3,238,775,738.64
  5. Step 5: Solve for x
    x = 3,238,775,738.64/65,853.47
  6. Step 6: Final answer
    x = 49,181.55

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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.