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Finding the Fourth Proportional to 43,806.10, 65,720.12 and 12,641.35

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Solution

The fourth proportional to 43,806.10, 65,720.12 and 12,641.35 is: 18,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,806.10 : 65,720.12 = 12,641.35 : x
  2. Step 2: Convert to fraction form
    43,806.10/65,720.12 = 12,641.35/x
  3. Step 3: Cross multiply
    43,806.10x = 65,720.12 × 12,641.35
  4. Step 4: Simplify right side
    43,806.10x = 830,791,038.96
  5. Step 5: Solve for x
    x = 830,791,038.96/43,806.10
  6. Step 6: Final answer
    x = 18,965.19

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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.