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Finding the Fourth Proportional to 99,689.49, 137,579.66 and 56,682.48

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Solution

The fourth proportional to 99,689.49, 137,579.66 and 56,682.48 is: 78,226.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,689.49 : 137,579.66 = 56,682.48 : x
  2. Step 2: Convert to fraction form
    99,689.49/137,579.66 = 56,682.48/x
  3. Step 3: Cross multiply
    99,689.49x = 137,579.66 × 56,682.48
  4. Step 4: Simplify right side
    99,689.49x = 7,798,356,042.94
  5. Step 5: Solve for x
    x = 7,798,356,042.94/99,689.49
  6. Step 6: Final answer
    x = 78,226.46

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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.