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Finding the Fourth Proportional to 65,343.90, 90,160.64 and 38,476.58

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Solution

The fourth proportional to 65,343.90, 90,160.64 and 38,476.58 is: 53,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.90 : 90,160.64 = 38,476.58 : x
  2. Step 2: Convert to fraction form
    65,343.90/90,160.64 = 38,476.58/x
  3. Step 3: Cross multiply
    65,343.90x = 90,160.64 × 38,476.58
  4. Step 4: Simplify right side
    65,343.90x = 3,469,073,077.81
  5. Step 5: Solve for x
    x = 3,469,073,077.81/65,343.90
  6. Step 6: Final answer
    x = 53,089.47

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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.