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Finding the Fourth Proportional to 119,918, 165,333 and 98,328.20

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Solution

The fourth proportional to 119,918, 165,333 and 98,328.20 is: 135,566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,918 : 165,333 = 98,328.20 : x
  2. Step 2: Convert to fraction form
    119,918/165,333 = 98,328.20/x
  3. Step 3: Cross multiply
    119,918x = 165,333 × 98,328.20
  4. Step 4: Simplify right side
    119,918x = 16,256,896,290.60
  5. Step 5: Solve for x
    x = 16,256,896,290.60/119,918
  6. Step 6: Final answer
    x = 135,566.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.