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Finding the Fourth Proportional to 65,318.28, 97,978.56 and 18,572.40

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Solution

The fourth proportional to 65,318.28, 97,978.56 and 18,572.40 is: 27,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,318.28 : 97,978.56 = 18,572.40 : x
  2. Step 2: Convert to fraction form
    65,318.28/97,978.56 = 18,572.40/x
  3. Step 3: Cross multiply
    65,318.28x = 97,978.56 × 18,572.40
  4. Step 4: Simplify right side
    65,318.28x = 1,819,697,007.74
  5. Step 5: Solve for x
    x = 1,819,697,007.74/65,318.28
  6. Step 6: Final answer
    x = 27,858.92

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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.