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Finding the Fourth Proportional to 65,104.63, 97,503.82 and 31,720.07

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Solution

The fourth proportional to 65,104.63, 97,503.82 and 31,720.07 is: 47,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,104.63 : 97,503.82 = 31,720.07 : x
  2. Step 2: Convert to fraction form
    65,104.63/97,503.82 = 31,720.07/x
  3. Step 3: Cross multiply
    65,104.63x = 97,503.82 × 31,720.07
  4. Step 4: Simplify right side
    65,104.63x = 3,092,828,160.13
  5. Step 5: Solve for x
    x = 3,092,828,160.13/65,104.63
  6. Step 6: Final answer
    x = 47,505.50

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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.