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Finding the Fourth Proportional to 216,020.40, 324,030.60 and 75,793.20

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Solution

The fourth proportional to 216,020.40, 324,030.60 and 75,793.20 is: 113,689.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,020.40 : 324,030.60 = 75,793.20 : x
  2. Step 2: Convert to fraction form
    216,020.40/324,030.60 = 75,793.20/x
  3. Step 3: Cross multiply
    216,020.40x = 324,030.60 × 75,793.20
  4. Step 4: Simplify right side
    216,020.40x = 24,559,316,071.92
  5. Step 5: Solve for x
    x = 24,559,316,071.92/216,020.40
  6. Step 6: Final answer
    x = 113,689.80

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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.