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Finding the Fourth Proportional to 135,282.60, 186,673.65 and 77,940.68

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Solution

The fourth proportional to 135,282.60, 186,673.65 and 77,940.68 is: 107,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,282.60 : 186,673.65 = 77,940.68 : x
  2. Step 2: Convert to fraction form
    135,282.60/186,673.65 = 77,940.68/x
  3. Step 3: Cross multiply
    135,282.60x = 186,673.65 × 77,940.68
  4. Step 4: Simplify right side
    135,282.60x = 14,549,470,285.71
  5. Step 5: Solve for x
    x = 14,549,470,285.71/135,282.60
  6. Step 6: Final answer
    x = 107,548.72

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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.