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Finding the Fourth Proportional to 43,798.19, 65,702.54 and 20,419.16

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Solution

The fourth proportional to 43,798.19, 65,702.54 and 20,419.16 is: 30,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,798.19 : 65,702.54 = 20,419.16 : x
  2. Step 2: Convert to fraction form
    43,798.19/65,702.54 = 20,419.16/x
  3. Step 3: Cross multiply
    43,798.19x = 65,702.54 × 20,419.16
  4. Step 4: Simplify right side
    43,798.19x = 1,341,590,399.20
  5. Step 5: Solve for x
    x = 1,341,590,399.20/43,798.19
  6. Step 6: Final answer
    x = 30,631.19

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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.