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Finding the Fourth Proportional to 98,605.20, 147,907.80 and 78,922.20

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Solution

The fourth proportional to 98,605.20, 147,907.80 and 78,922.20 is: 118,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,605.20 : 147,907.80 = 78,922.20 : x
  2. Step 2: Convert to fraction form
    98,605.20/147,907.80 = 78,922.20/x
  3. Step 3: Cross multiply
    98,605.20x = 147,907.80 × 78,922.20
  4. Step 4: Simplify right side
    98,605.20x = 11,673,208,973.16
  5. Step 5: Solve for x
    x = 11,673,208,973.16/98,605.20
  6. Step 6: Final answer
    x = 118,383.30

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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.