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Finding the Fourth Proportional to 72,097.13, 99,540.80 and 64,530.30

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Solution

The fourth proportional to 72,097.13, 99,540.80 and 64,530.30 is: 89,093.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097.13 : 99,540.80 = 64,530.30 : x
  2. Step 2: Convert to fraction form
    72,097.13/99,540.80 = 64,530.30/x
  3. Step 3: Cross multiply
    72,097.13x = 99,540.80 × 64,530.30
  4. Step 4: Simplify right side
    72,097.13x = 6,423,397,363.59
  5. Step 5: Solve for x
    x = 6,423,397,363.59/72,097.13
  6. Step 6: Final answer
    x = 89,093.67

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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.