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Finding the Fourth Proportional to 81,157.95, 121,567.64 and 65,277.23

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Solution

The fourth proportional to 81,157.95, 121,567.64 and 65,277.23 is: 97,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157.95 : 121,567.64 = 65,277.23 : x
  2. Step 2: Convert to fraction form
    81,157.95/121,567.64 = 65,277.23/x
  3. Step 3: Cross multiply
    81,157.95x = 121,567.64 × 65,277.23
  4. Step 4: Simplify right side
    81,157.95x = 7,935,597,862.61
  5. Step 5: Solve for x
    x = 7,935,597,862.61/81,157.95
  6. Step 6: Final answer
    x = 97,779.67

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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.