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Finding the Fourth Proportional to 99,364, 137,122.68 and 54,041.98

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Solution

The fourth proportional to 99,364, 137,122.68 and 54,041.98 is: 74,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,364 : 137,122.68 = 54,041.98 : x
  2. Step 2: Convert to fraction form
    99,364/137,122.68 = 54,041.98/x
  3. Step 3: Cross multiply
    99,364x = 137,122.68 × 54,041.98
  4. Step 4: Simplify right side
    99,364x = 7,410,381,130.11
  5. Step 5: Solve for x
    x = 7,410,381,130.11/99,364
  6. Step 6: Final answer
    x = 74,578.13

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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.