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Finding the Fourth Proportional to 139,876.16, 209,835.08 and 49,911.86

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Solution

The fourth proportional to 139,876.16, 209,835.08 and 49,911.86 is: 74,875.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.16 : 209,835.08 = 49,911.86 : x
  2. Step 2: Convert to fraction form
    139,876.16/209,835.08 = 49,911.86/x
  3. Step 3: Cross multiply
    139,876.16x = 209,835.08 × 49,911.86
  4. Step 4: Simplify right side
    139,876.16x = 10,473,258,086.87
  5. Step 5: Solve for x
    x = 10,473,258,086.87/139,876.16
  6. Step 6: Final answer
    x = 74,875.22

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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.