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Finding the Fourth Proportional to 137,898.30, 206,906.08 and 77,935.02

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Solution

The fourth proportional to 137,898.30, 206,906.08 and 77,935.02 is: 116,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,898.30 : 206,906.08 = 77,935.02 : x
  2. Step 2: Convert to fraction form
    137,898.30/206,906.08 = 77,935.02/x
  3. Step 3: Cross multiply
    137,898.30x = 206,906.08 × 77,935.02
  4. Step 4: Simplify right side
    137,898.30x = 16,125,229,482.92
  5. Step 5: Solve for x
    x = 16,125,229,482.92/137,898.30
  6. Step 6: Final answer
    x = 116,935.67

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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.