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Finding the Fourth Proportional to 186,657.40, 279,986.10 and 112,007.80

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Solution

The fourth proportional to 186,657.40, 279,986.10 and 112,007.80 is: 168,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,657.40 : 279,986.10 = 112,007.80 : x
  2. Step 2: Convert to fraction form
    186,657.40/279,986.10 = 112,007.80/x
  3. Step 3: Cross multiply
    186,657.40x = 279,986.10 × 112,007.80
  4. Step 4: Simplify right side
    186,657.40x = 31,360,627,091.58
  5. Step 5: Solve for x
    x = 31,360,627,091.58/186,657.40
  6. Step 6: Final answer
    x = 168,011.70

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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.