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Finding the Fourth Proportional to 75,281.63, 103,881.16 and 43,460.78

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Solution

The fourth proportional to 75,281.63, 103,881.16 and 43,460.78 is: 59,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281.63 : 103,881.16 = 43,460.78 : x
  2. Step 2: Convert to fraction form
    75,281.63/103,881.16 = 43,460.78/x
  3. Step 3: Cross multiply
    75,281.63x = 103,881.16 × 43,460.78
  4. Step 4: Simplify right side
    75,281.63x = 4,514,756,240.90
  5. Step 5: Solve for x
    x = 4,514,756,240.90/75,281.63
  6. Step 6: Final answer
    x = 59,971.55

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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.