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Finding the Fourth Proportional to 105,667.30, 145,835.81 and 65,394.03

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Solution

The fourth proportional to 105,667.30, 145,835.81 and 65,394.03 is: 90,253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,667.30 : 145,835.81 = 65,394.03 : x
  2. Step 2: Convert to fraction form
    105,667.30/145,835.81 = 65,394.03/x
  3. Step 3: Cross multiply
    105,667.30x = 145,835.81 × 65,394.03
  4. Step 4: Simplify right side
    105,667.30x = 9,536,791,799.36
  5. Step 5: Solve for x
    x = 9,536,791,799.36/105,667.30
  6. Step 6: Final answer
    x = 90,253.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.