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Finding the Fourth Proportional to 188,778, 283,210.80 and 64,119.12

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Solution

The fourth proportional to 188,778, 283,210.80 and 64,119.12 is: 96,193.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,778 : 283,210.80 = 64,119.12 : x
  2. Step 2: Convert to fraction form
    188,778/283,210.80 = 64,119.12/x
  3. Step 3: Cross multiply
    188,778x = 283,210.80 × 64,119.12
  4. Step 4: Simplify right side
    188,778x = 18,159,227,270.50
  5. Step 5: Solve for x
    x = 18,159,227,270.50/188,778
  6. Step 6: Final answer
    x = 96,193.56

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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.