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Finding the Fourth Proportional to 103,218.44, 154,608.94 and 77,980.46

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Solution

The fourth proportional to 103,218.44, 154,608.94 and 77,980.46 is: 116,805.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.44 : 154,608.94 = 77,980.46 : x
  2. Step 2: Convert to fraction form
    103,218.44/154,608.94 = 77,980.46/x
  3. Step 3: Cross multiply
    103,218.44x = 154,608.94 × 77,980.46
  4. Step 4: Simplify right side
    103,218.44x = 12,056,476,261.31
  5. Step 5: Solve for x
    x = 12,056,476,261.31/103,218.44
  6. Step 6: Final answer
    x = 116,805.45

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1.5x scale

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.