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Finding the Fourth Proportional to 98,503.30, 147,582.15 and 80,877.70

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Solution

The fourth proportional to 98,503.30, 147,582.15 and 80,877.70 is: 121,174.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,503.30 : 147,582.15 = 80,877.70 : x
  2. Step 2: Convert to fraction form
    98,503.30/147,582.15 = 80,877.70/x
  3. Step 3: Cross multiply
    98,503.30x = 147,582.15 × 80,877.70
  4. Step 4: Simplify right side
    98,503.30x = 11,936,104,853.06
  5. Step 5: Solve for x
    x = 11,936,104,853.06/98,503.30
  6. Step 6: Final answer
    x = 121,174.67

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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.