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Finding the Fourth Proportional to 143,070, 214,535.16 and 43,211.04

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Solution

The fourth proportional to 143,070, 214,535.16 and 43,211.04 is: 64,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,070 : 214,535.16 = 43,211.04 : x
  2. Step 2: Convert to fraction form
    143,070/214,535.16 = 43,211.04/x
  3. Step 3: Cross multiply
    143,070x = 214,535.16 × 43,211.04
  4. Step 4: Simplify right side
    143,070x = 9,270,287,380.17
  5. Step 5: Solve for x
    x = 9,270,287,380.17/143,070
  6. Step 6: Final answer
    x = 64,795.47

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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.