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Finding the Fourth Proportional to 97,804.20, 146,706.30 and 91,243.20

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Solution

The fourth proportional to 97,804.20, 146,706.30 and 91,243.20 is: 136,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804.20 : 146,706.30 = 91,243.20 : x
  2. Step 2: Convert to fraction form
    97,804.20/146,706.30 = 91,243.20/x
  3. Step 3: Cross multiply
    97,804.20x = 146,706.30 × 91,243.20
  4. Step 4: Simplify right side
    97,804.20x = 13,385,952,272.16
  5. Step 5: Solve for x
    x = 13,385,952,272.16/97,804.20
  6. Step 6: Final answer
    x = 136,864.80

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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.