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Finding the Fourth Proportional to 65,654.11, 90,476.25 and 47,720.71

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Solution

The fourth proportional to 65,654.11, 90,476.25 and 47,720.71 is: 65,762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654.11 : 90,476.25 = 47,720.71 : x
  2. Step 2: Convert to fraction form
    65,654.11/90,476.25 = 47,720.71/x
  3. Step 3: Cross multiply
    65,654.11x = 90,476.25 × 47,720.71
  4. Step 4: Simplify right side
    65,654.11x = 4,317,590,888.14
  5. Step 5: Solve for x
    x = 4,317,590,888.14/65,654.11
  6. Step 6: Final answer
    x = 65,762.69

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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.