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Finding the Fourth Proportional to 65,678.75, 90,638.85 and 35,870.75

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Solution

The fourth proportional to 65,678.75, 90,638.85 and 35,870.75 is: 49,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.75 : 90,638.85 = 35,870.75 : x
  2. Step 2: Convert to fraction form
    65,678.75/90,638.85 = 35,870.75/x
  3. Step 3: Cross multiply
    65,678.75x = 90,638.85 × 35,870.75
  4. Step 4: Simplify right side
    65,678.75x = 3,251,283,528.64
  5. Step 5: Solve for x
    x = 3,251,283,528.64/65,678.75
  6. Step 6: Final answer
    x = 49,502.82

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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.