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Finding the Fourth Proportional to 99,486.50, 137,408.02 and 65,894.18

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Solution

The fourth proportional to 99,486.50, 137,408.02 and 65,894.18 is: 91,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486.50 : 137,408.02 = 65,894.18 : x
  2. Step 2: Convert to fraction form
    99,486.50/137,408.02 = 65,894.18/x
  3. Step 3: Cross multiply
    99,486.50x = 137,408.02 × 65,894.18
  4. Step 4: Simplify right side
    99,486.50x = 9,054,388,803.32
  5. Step 5: Solve for x
    x = 9,054,388,803.32/99,486.50
  6. Step 6: Final answer
    x = 91,011.23

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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.