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Finding the Fourth Proportional to 65,161.80, 97,742.70 and 49,415.40

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Solution

The fourth proportional to 65,161.80, 97,742.70 and 49,415.40 is: 74,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161.80 : 97,742.70 = 49,415.40 : x
  2. Step 2: Convert to fraction form
    65,161.80/97,742.70 = 49,415.40/x
  3. Step 3: Cross multiply
    65,161.80x = 97,742.70 × 49,415.40
  4. Step 4: Simplify right side
    65,161.80x = 4,829,994,617.58
  5. Step 5: Solve for x
    x = 4,829,994,617.58/65,161.80
  6. Step 6: Final answer
    x = 74,123.10

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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.