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Finding the Fourth Proportional to 102,667.80, 153,935.10 and 43,487.40

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Solution

The fourth proportional to 102,667.80, 153,935.10 and 43,487.40 is: 65,202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,667.80 : 153,935.10 = 43,487.40 : x
  2. Step 2: Convert to fraction form
    102,667.80/153,935.10 = 43,487.40/x
  3. Step 3: Cross multiply
    102,667.80x = 153,935.10 × 43,487.40
  4. Step 4: Simplify right side
    102,667.80x = 6,694,237,267.74
  5. Step 5: Solve for x
    x = 6,694,237,267.74/102,667.80
  6. Step 6: Final answer
    x = 65,202.89

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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.