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Finding the Fourth Proportional to 65,090.40, 97,419.60 and 47,270.40

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Solution

The fourth proportional to 65,090.40, 97,419.60 and 47,270.40 is: 70,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,090.40 : 97,419.60 = 47,270.40 : x
  2. Step 2: Convert to fraction form
    65,090.40/97,419.60 = 47,270.40/x
  3. Step 3: Cross multiply
    65,090.40x = 97,419.60 × 47,270.40
  4. Step 4: Simplify right side
    65,090.40x = 4,605,063,459.84
  5. Step 5: Solve for x
    x = 4,605,063,459.84/65,090.40
  6. Step 6: Final answer
    x = 70,748.73

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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.