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Finding the Fourth Proportional to 218,036.10, 326,835.45 and 99,792.30

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Solution

The fourth proportional to 218,036.10, 326,835.45 and 99,792.30 is: 149,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,036.10 : 326,835.45 = 99,792.30 : x
  2. Step 2: Convert to fraction form
    218,036.10/326,835.45 = 99,792.30/x
  3. Step 3: Cross multiply
    218,036.10x = 326,835.45 × 99,792.30
  4. Step 4: Simplify right side
    218,036.10x = 32,615,661,277.04
  5. Step 5: Solve for x
    x = 32,615,661,277.04/218,036.10
  6. Step 6: Final answer
    x = 149,588.35

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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.