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Finding the Fourth Proportional to 135,409.61, 186,864.92 and 78,048.46

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Solution

The fourth proportional to 135,409.61, 186,864.92 and 78,048.46 is: 107,706.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,409.61 : 186,864.92 = 78,048.46 : x
  2. Step 2: Convert to fraction form
    135,409.61/186,864.92 = 78,048.46/x
  3. Step 3: Cross multiply
    135,409.61x = 186,864.92 × 78,048.46
  4. Step 4: Simplify right side
    135,409.61x = 14,584,519,809.07
  5. Step 5: Solve for x
    x = 14,584,519,809.07/135,409.61
  6. Step 6: Final answer
    x = 107,706.68

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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.