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Finding the Fourth Proportional to 75,326.70, 112,931.64 and 43,688.10

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Solution

The fourth proportional to 75,326.70, 112,931.64 and 43,688.10 is: 65,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,326.70 : 112,931.64 = 43,688.10 : x
  2. Step 2: Convert to fraction form
    75,326.70/112,931.64 = 43,688.10/x
  3. Step 3: Cross multiply
    75,326.70x = 112,931.64 × 43,688.10
  4. Step 4: Simplify right side
    75,326.70x = 4,933,768,781.48
  5. Step 5: Solve for x
    x = 4,933,768,781.48/75,326.70
  6. Step 6: Final answer
    x = 65,498.27

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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.