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Finding the Fourth Proportional to 139,117.64, 208,209.90 and 114,156.68

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Solution

The fourth proportional to 139,117.64, 208,209.90 and 114,156.68 is: 170,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,117.64 : 208,209.90 = 114,156.68 : x
  2. Step 2: Convert to fraction form
    139,117.64/208,209.90 = 114,156.68/x
  3. Step 3: Cross multiply
    139,117.64x = 208,209.90 × 114,156.68
  4. Step 4: Simplify right side
    139,117.64x = 23,768,550,927.13
  5. Step 5: Solve for x
    x = 23,768,550,927.13/139,117.64
  6. Step 6: Final answer
    x = 170,852.17

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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.