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Finding the Fourth Proportional to 84,298.50, 126,455.04 and 21,969

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Solution

The fourth proportional to 84,298.50, 126,455.04 and 21,969 is: 32,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,298.50 : 126,455.04 = 21,969 : x
  2. Step 2: Convert to fraction form
    84,298.50/126,455.04 = 21,969/x
  3. Step 3: Cross multiply
    84,298.50x = 126,455.04 × 21,969
  4. Step 4: Simplify right side
    84,298.50x = 2,778,090,773.76
  5. Step 5: Solve for x
    x = 2,778,090,773.76/84,298.50
  6. Step 6: Final answer
    x = 32,955.40

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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.