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Finding the Fourth Proportional to 65,405, 97,564.48 and 63,218.36

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Solution

The fourth proportional to 65,405, 97,564.48 and 63,218.36 is: 94,302.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,405 : 97,564.48 = 63,218.36 : x
  2. Step 2: Convert to fraction form
    65,405/97,564.48 = 63,218.36/x
  3. Step 3: Cross multiply
    65,405x = 97,564.48 × 63,218.36
  4. Step 4: Simplify right side
    65,405x = 6,167,866,419.85
  5. Step 5: Solve for x
    x = 6,167,866,419.85/65,405
  6. Step 6: Final answer
    x = 94,302.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.