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Finding the Fourth Proportional to 43,778, 65,702.84 and 30,656.72

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Solution

The fourth proportional to 43,778, 65,702.84 and 30,656.72 is: 46,010.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,778 : 65,702.84 = 30,656.72 : x
  2. Step 2: Convert to fraction form
    43,778/65,702.84 = 30,656.72/x
  3. Step 3: Cross multiply
    43,778x = 65,702.84 × 30,656.72
  4. Step 4: Simplify right side
    43,778x = 2,014,233,569.08
  5. Step 5: Solve for x
    x = 2,014,233,569.08/43,778
  6. Step 6: Final answer
    x = 46,010.18

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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.