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Finding the Fourth Proportional to 97,041.30, 133,978.50 and 66,465.69

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Solution

The fourth proportional to 97,041.30, 133,978.50 and 66,465.69 is: 91,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,041.30 : 133,978.50 = 66,465.69 : x
  2. Step 2: Convert to fraction form
    97,041.30/133,978.50 = 66,465.69/x
  3. Step 3: Cross multiply
    97,041.30x = 133,978.50 × 66,465.69
  4. Step 4: Simplify right side
    97,041.30x = 8,904,973,447.67
  5. Step 5: Solve for x
    x = 8,904,973,447.67/97,041.30
  6. Step 6: Final answer
    x = 91,764.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.