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Finding the Fourth Proportional to 139,214.70, 208,822.05 and 100,140.30

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Solution

The fourth proportional to 139,214.70, 208,822.05 and 100,140.30 is: 150,210.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,214.70 : 208,822.05 = 100,140.30 : x
  2. Step 2: Convert to fraction form
    139,214.70/208,822.05 = 100,140.30/x
  3. Step 3: Cross multiply
    139,214.70x = 208,822.05 × 100,140.30
  4. Step 4: Simplify right side
    139,214.70x = 20,911,502,733.62
  5. Step 5: Solve for x
    x = 20,911,502,733.62/139,214.70
  6. Step 6: Final answer
    x = 150,210.45

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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.