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Finding the Fourth Proportional to 75,707.78, 104,475.35 and 41,719.40

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Solution

The fourth proportional to 75,707.78, 104,475.35 and 41,719.40 is: 57,572.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,707.78 : 104,475.35 = 41,719.40 : x
  2. Step 2: Convert to fraction form
    75,707.78/104,475.35 = 41,719.40/x
  3. Step 3: Cross multiply
    75,707.78x = 104,475.35 × 41,719.40
  4. Step 4: Simplify right side
    75,707.78x = 4,358,648,890.49
  5. Step 5: Solve for x
    x = 4,358,648,890.49/75,707.78
  6. Step 6: Final answer
    x = 57,572.01

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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.