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Finding the Fourth Proportional to 64,259.52, 96,221.61 and 51,711

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Solution

The fourth proportional to 64,259.52, 96,221.61 and 51,711 is: 77,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,259.52 : 96,221.61 = 51,711 : x
  2. Step 2: Convert to fraction form
    64,259.52/96,221.61 = 51,711/x
  3. Step 3: Cross multiply
    64,259.52x = 96,221.61 × 51,711
  4. Step 4: Simplify right side
    64,259.52x = 4,975,715,674.71
  5. Step 5: Solve for x
    x = 4,975,715,674.71/64,259.52
  6. Step 6: Final answer
    x = 77,431.57

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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.