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Finding the Fourth Proportional to 74,518.84, 102,535.78 and 72,747.40

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Solution

The fourth proportional to 74,518.84, 102,535.78 and 72,747.40 is: 100,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,518.84 : 102,535.78 = 72,747.40 : x
  2. Step 2: Convert to fraction form
    74,518.84/102,535.78 = 72,747.40/x
  3. Step 3: Cross multiply
    74,518.84x = 102,535.78 × 72,747.40
  4. Step 4: Simplify right side
    74,518.84x = 7,459,211,401.97
  5. Step 5: Solve for x
    x = 7,459,211,401.97/74,518.84
  6. Step 6: Final answer
    x = 100,098.33

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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.