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Finding the Fourth Proportional to 105,086.40, 157,370.40 and 69,835.20

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Solution

The fourth proportional to 105,086.40, 157,370.40 and 69,835.20 is: 104,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086.40 : 157,370.40 = 69,835.20 : x
  2. Step 2: Convert to fraction form
    105,086.40/157,370.40 = 69,835.20/x
  3. Step 3: Cross multiply
    105,086.40x = 157,370.40 × 69,835.20
  4. Step 4: Simplify right side
    105,086.40x = 10,989,993,358.08
  5. Step 5: Solve for x
    x = 10,989,993,358.08/105,086.40
  6. Step 6: Final answer
    x = 104,580.55

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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.