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Finding the Fourth Proportional to 102,938.30, 154,407.45 and 101,188.70

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Solution

The fourth proportional to 102,938.30, 154,407.45 and 101,188.70 is: 151,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,938.30 : 154,407.45 = 101,188.70 : x
  2. Step 2: Convert to fraction form
    102,938.30/154,407.45 = 101,188.70/x
  3. Step 3: Cross multiply
    102,938.30x = 154,407.45 × 101,188.70
  4. Step 4: Simplify right side
    102,938.30x = 15,624,289,135.82
  5. Step 5: Solve for x
    x = 15,624,289,135.82/102,938.30
  6. Step 6: Final answer
    x = 151,783.05

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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.