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Finding the Fourth Proportional to 65,778, 90,773.64 and 35,970

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Solution

The fourth proportional to 65,778, 90,773.64 and 35,970 is: 49,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,778 : 90,773.64 = 35,970 : x
  2. Step 2: Convert to fraction form
    65,778/90,773.64 = 35,970/x
  3. Step 3: Cross multiply
    65,778x = 90,773.64 × 35,970
  4. Step 4: Simplify right side
    65,778x = 3,265,127,830.80
  5. Step 5: Solve for x
    x = 3,265,127,830.80/65,778
  6. Step 6: Final answer
    x = 49,638.60

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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.