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Finding the Fourth Proportional to 153,626.71, 212,005.74 and 85,648

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Solution

The fourth proportional to 153,626.71, 212,005.74 and 85,648 is: 118,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,626.71 : 212,005.74 = 85,648 : x
  2. Step 2: Convert to fraction form
    153,626.71/212,005.74 = 85,648/x
  3. Step 3: Cross multiply
    153,626.71x = 212,005.74 × 85,648
  4. Step 4: Simplify right side
    153,626.71x = 18,157,867,619.52
  5. Step 5: Solve for x
    x = 18,157,867,619.52/153,626.71
  6. Step 6: Final answer
    x = 118,194.73

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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.