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Finding the Fourth Proportional to 70,817.40, 97,728.66 and 38,987

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Solution

The fourth proportional to 70,817.40, 97,728.66 and 38,987 is: 53,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,817.40 : 97,728.66 = 38,987 : x
  2. Step 2: Convert to fraction form
    70,817.40/97,728.66 = 38,987/x
  3. Step 3: Cross multiply
    70,817.40x = 97,728.66 × 38,987
  4. Step 4: Simplify right side
    70,817.40x = 3,810,147,267.42
  5. Step 5: Solve for x
    x = 3,810,147,267.42/70,817.40
  6. Step 6: Final answer
    x = 53,802.42

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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.