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Finding the Fourth Proportional to 72,415.68, 108,656.64 and 42,891.84

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Solution

The fourth proportional to 72,415.68, 108,656.64 and 42,891.84 is: 64,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,415.68 : 108,656.64 = 42,891.84 : x
  2. Step 2: Convert to fraction form
    72,415.68/108,656.64 = 42,891.84/x
  3. Step 3: Cross multiply
    72,415.68x = 108,656.64 × 42,891.84
  4. Step 4: Simplify right side
    72,415.68x = 4,660,483,217.82
  5. Step 5: Solve for x
    x = 4,660,483,217.82/72,415.68
  6. Step 6: Final answer
    x = 64,357.38

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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.