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Finding the Fourth Proportional to 213,280, 294,326.40 and 123,861.76

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Solution

The fourth proportional to 213,280, 294,326.40 and 123,861.76 is: 170,929.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,280 : 294,326.40 = 123,861.76 : x
  2. Step 2: Convert to fraction form
    213,280/294,326.40 = 123,861.76/x
  3. Step 3: Cross multiply
    213,280x = 294,326.40 × 123,861.76
  4. Step 4: Simplify right side
    213,280x = 36,455,785,918.46
  5. Step 5: Solve for x
    x = 36,455,785,918.46/213,280
  6. Step 6: Final answer
    x = 170,929.23

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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.