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Finding the Fourth Proportional to 135,041.94, 186,319.98 and 77,678.28

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Solution

The fourth proportional to 135,041.94, 186,319.98 and 77,678.28 is: 107,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,041.94 : 186,319.98 = 77,678.28 : x
  2. Step 2: Convert to fraction form
    135,041.94/186,319.98 = 77,678.28/x
  3. Step 3: Cross multiply
    135,041.94x = 186,319.98 × 77,678.28
  4. Step 4: Simplify right side
    135,041.94x = 14,473,015,576.03
  5. Step 5: Solve for x
    x = 14,473,015,576.03/135,041.94
  6. Step 6: Final answer
    x = 107,174.23

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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.