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Finding the Fourth Proportional to 103,541.98, 142,853.58 and 84,388.84

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Solution

The fourth proportional to 103,541.98, 142,853.58 and 84,388.84 is: 116,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,541.98 : 142,853.58 = 84,388.84 : x
  2. Step 2: Convert to fraction form
    103,541.98/142,853.58 = 84,388.84/x
  3. Step 3: Cross multiply
    103,541.98x = 142,853.58 × 84,388.84
  4. Step 4: Simplify right side
    103,541.98x = 12,055,247,906.05
  5. Step 5: Solve for x
    x = 12,055,247,906.05/103,541.98
  6. Step 6: Final answer
    x = 116,428.60

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1.5x scale

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.