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Finding the Fourth Proportional to 99,541.84, 137,362.98 and 54,219.61

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Solution

The fourth proportional to 99,541.84, 137,362.98 and 54,219.61 is: 74,820.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,541.84 : 137,362.98 = 54,219.61 : x
  2. Step 2: Convert to fraction form
    99,541.84/137,362.98 = 54,219.61/x
  3. Step 3: Cross multiply
    99,541.84x = 137,362.98 × 54,219.61
  4. Step 4: Simplify right side
    99,541.84x = 7,447,767,204.04
  5. Step 5: Solve for x
    x = 7,447,767,204.04/99,541.84
  6. Step 6: Final answer
    x = 74,820.47

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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.