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Finding the Fourth Proportional to 75,465, 104,145.12 and 41,931

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Solution

The fourth proportional to 75,465, 104,145.12 and 41,931 is: 57,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,465 : 104,145.12 = 41,931 : x
  2. Step 2: Convert to fraction form
    75,465/104,145.12 = 41,931/x
  3. Step 3: Cross multiply
    75,465x = 104,145.12 × 41,931
  4. Step 4: Simplify right side
    75,465x = 4,366,909,026.72
  5. Step 5: Solve for x
    x = 4,366,909,026.72/75,465
  6. Step 6: Final answer
    x = 57,866.68

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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.