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Finding the Fourth Proportional to 98,220, 147,333.65 and 31,661.09

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Solution

The fourth proportional to 98,220, 147,333.65 and 31,661.09 is: 47,492.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,220 : 147,333.65 = 31,661.09 : x
  2. Step 2: Convert to fraction form
    98,220/147,333.65 = 31,661.09/x
  3. Step 3: Cross multiply
    98,220x = 147,333.65 × 31,661.09
  4. Step 4: Simplify right side
    98,220x = 4,664,743,952.68
  5. Step 5: Solve for x
    x = 4,664,743,952.68/98,220
  6. Step 6: Final answer
    x = 47,492.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.