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Finding the Fourth Proportional to 65,137.40, 97,706.10 and 35,612.90

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Solution

The fourth proportional to 65,137.40, 97,706.10 and 35,612.90 is: 53,419.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.40 : 97,706.10 = 35,612.90 : x
  2. Step 2: Convert to fraction form
    65,137.40/97,706.10 = 35,612.90/x
  3. Step 3: Cross multiply
    65,137.40x = 97,706.10 × 35,612.90
  4. Step 4: Simplify right side
    65,137.40x = 3,479,597,568.69
  5. Step 5: Solve for x
    x = 3,479,597,568.69/65,137.40
  6. Step 6: Final answer
    x = 53,419.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.