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Finding the Fourth Proportional to 210,023.69, 315,098.10 and 97,770.24

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Solution

The fourth proportional to 210,023.69, 315,098.10 and 97,770.24 is: 146,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,023.69 : 315,098.10 = 97,770.24 : x
  2. Step 2: Convert to fraction form
    210,023.69/315,098.10 = 97,770.24/x
  3. Step 3: Cross multiply
    210,023.69x = 315,098.10 × 97,770.24
  4. Step 4: Simplify right side
    210,023.69x = 30,807,216,860.54
  5. Step 5: Solve for x
    x = 30,807,216,860.54/210,023.69
  6. Step 6: Final answer
    x = 146,684.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.