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Finding the Fourth Proportional to 102,648.40, 153,972.60 and 91,243.60

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Solution

The fourth proportional to 102,648.40, 153,972.60 and 91,243.60 is: 136,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,648.40 : 153,972.60 = 91,243.60 : x
  2. Step 2: Convert to fraction form
    102,648.40/153,972.60 = 91,243.60/x
  3. Step 3: Cross multiply
    102,648.40x = 153,972.60 × 91,243.60
  4. Step 4: Simplify right side
    102,648.40x = 14,049,014,325.36
  5. Step 5: Solve for x
    x = 14,049,014,325.36/102,648.40
  6. Step 6: Final answer
    x = 136,865.40

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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.