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Finding the Fourth Proportional to 135,412.54, 186,869.01 and 78,051.47

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Solution

The fourth proportional to 135,412.54, 186,869.01 and 78,051.47 is: 107,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,412.54 : 186,869.01 = 78,051.47 : x
  2. Step 2: Convert to fraction form
    135,412.54/186,869.01 = 78,051.47/x
  3. Step 3: Cross multiply
    135,412.54x = 186,869.01 × 78,051.47
  4. Step 4: Simplify right side
    135,412.54x = 14,585,400,927.94
  5. Step 5: Solve for x
    x = 14,585,400,927.94/135,412.54
  6. Step 6: Final answer
    x = 107,710.86

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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.