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Finding the Fourth Proportional to 65,489.38, 90,386.21 and 38,638.49

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Solution

The fourth proportional to 65,489.38, 90,386.21 and 38,638.49 is: 53,327.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,489.38 : 90,386.21 = 38,638.49 : x
  2. Step 2: Convert to fraction form
    65,489.38/90,386.21 = 38,638.49/x
  3. Step 3: Cross multiply
    65,489.38x = 90,386.21 × 38,638.49
  4. Step 4: Simplify right side
    65,489.38x = 3,492,386,315.89
  5. Step 5: Solve for x
    x = 3,492,386,315.89/65,489.38
  6. Step 6: Final answer
    x = 53,327.52

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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.