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Finding the Fourth Proportional to 65,011.40, 97,301.10 and 47,191.40

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Solution

The fourth proportional to 65,011.40, 97,301.10 and 47,191.40 is: 70,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,011.40 : 97,301.10 = 47,191.40 : x
  2. Step 2: Convert to fraction form
    65,011.40/97,301.10 = 47,191.40/x
  3. Step 3: Cross multiply
    65,011.40x = 97,301.10 × 47,191.40
  4. Step 4: Simplify right side
    65,011.40x = 4,591,775,130.54
  5. Step 5: Solve for x
    x = 4,591,775,130.54/65,011.40
  6. Step 6: Final answer
    x = 70,630.31

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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.