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Finding the Fourth Proportional to 135,297.69, 186,730.62 and 77,925.98

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Solution

The fourth proportional to 135,297.69, 186,730.62 and 77,925.98 is: 107,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,297.69 : 186,730.62 = 77,925.98 : x
  2. Step 2: Convert to fraction form
    135,297.69/186,730.62 = 77,925.98/x
  3. Step 3: Cross multiply
    135,297.69x = 186,730.62 × 77,925.98
  4. Step 4: Simplify right side
    135,297.69x = 14,551,165,625.85
  5. Step 5: Solve for x
    x = 14,551,165,625.85/135,297.69
  6. Step 6: Final answer
    x = 107,549.25

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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.