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Finding the Fourth Proportional to 102,670.40, 154,005.60 and 89,972.80

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Solution

The fourth proportional to 102,670.40, 154,005.60 and 89,972.80 is: 134,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,670.40 : 154,005.60 = 89,972.80 : x
  2. Step 2: Convert to fraction form
    102,670.40/154,005.60 = 89,972.80/x
  3. Step 3: Cross multiply
    102,670.40x = 154,005.60 × 89,972.80
  4. Step 4: Simplify right side
    102,670.40x = 13,856,315,047.68
  5. Step 5: Solve for x
    x = 13,856,315,047.68/102,670.40
  6. Step 6: Final answer
    x = 134,959.20

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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.