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Finding the Fourth Proportional to 138,300.48, 207,580.32 and 71,787.60

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Solution

The fourth proportional to 138,300.48, 207,580.32 and 71,787.60 is: 107,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300.48 : 207,580.32 = 71,787.60 : x
  2. Step 2: Convert to fraction form
    138,300.48/207,580.32 = 71,787.60/x
  3. Step 3: Cross multiply
    138,300.48x = 207,580.32 × 71,787.60
  4. Step 4: Simplify right side
    138,300.48x = 14,901,692,980.03
  5. Step 5: Solve for x
    x = 14,901,692,980.03/138,300.48
  6. Step 6: Final answer
    x = 107,748.67

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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.