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Finding the Fourth Proportional to 139,975.92, 209,730.12 and 98,348.40

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Solution

The fourth proportional to 139,975.92, 209,730.12 and 98,348.40 is: 147,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,975.92 : 209,730.12 = 98,348.40 : x
  2. Step 2: Convert to fraction form
    139,975.92/209,730.12 = 98,348.40/x
  3. Step 3: Cross multiply
    139,975.92x = 209,730.12 × 98,348.40
  4. Step 4: Simplify right side
    139,975.92x = 20,626,621,733.81
  5. Step 5: Solve for x
    x = 20,626,621,733.81/139,975.92
  6. Step 6: Final answer
    x = 147,358.36

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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.