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Finding the Fourth Proportional to 186,646.40, 279,969.60 and 68,278.40

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Solution

The fourth proportional to 186,646.40, 279,969.60 and 68,278.40 is: 102,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,646.40 : 279,969.60 = 68,278.40 : x
  2. Step 2: Convert to fraction form
    186,646.40/279,969.60 = 68,278.40/x
  3. Step 3: Cross multiply
    186,646.40x = 279,969.60 × 68,278.40
  4. Step 4: Simplify right side
    186,646.40x = 19,115,876,336.64
  5. Step 5: Solve for x
    x = 19,115,876,336.64/186,646.40
  6. Step 6: Final answer
    x = 102,417.60

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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.