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Finding the Fourth Proportional to 65,242.70, 97,864.05 and 30,250.70

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Solution

The fourth proportional to 65,242.70, 97,864.05 and 30,250.70 is: 45,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.70 : 97,864.05 = 30,250.70 : x
  2. Step 2: Convert to fraction form
    65,242.70/97,864.05 = 30,250.70/x
  3. Step 3: Cross multiply
    65,242.70x = 97,864.05 × 30,250.70
  4. Step 4: Simplify right side
    65,242.70x = 2,960,456,017.34
  5. Step 5: Solve for x
    x = 2,960,456,017.34/65,242.70
  6. Step 6: Final answer
    x = 45,376.05

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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.