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Finding the Fourth Proportional to 97,685.40, 146,309.40 and 75,426.60

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Solution

The fourth proportional to 97,685.40, 146,309.40 and 75,426.60 is: 112,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,685.40 : 146,309.40 = 75,426.60 : x
  2. Step 2: Convert to fraction form
    97,685.40/146,309.40 = 75,426.60/x
  3. Step 3: Cross multiply
    97,685.40x = 146,309.40 × 75,426.60
  4. Step 4: Simplify right side
    97,685.40x = 11,035,620,590.04
  5. Step 5: Solve for x
    x = 11,035,620,590.04/97,685.40
  6. Step 6: Final answer
    x = 112,971.03

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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.