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Finding the Fourth Proportional to 138,667.83, 208,002.35 and 43,898.48

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Solution

The fourth proportional to 138,667.83, 208,002.35 and 43,898.48 is: 65,847.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,667.83 : 208,002.35 = 43,898.48 : x
  2. Step 2: Convert to fraction form
    138,667.83/208,002.35 = 43,898.48/x
  3. Step 3: Cross multiply
    138,667.83x = 208,002.35 × 43,898.48
  4. Step 4: Simplify right side
    138,667.83x = 9,130,986,071.16
  5. Step 5: Solve for x
    x = 9,130,986,071.16/138,667.83
  6. Step 6: Final answer
    x = 65,847.90

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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.