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Finding the Fourth Proportional to 139,705.18, 209,470.11 and 101,768.02

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Solution

The fourth proportional to 139,705.18, 209,470.11 and 101,768.02 is: 152,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,705.18 : 209,470.11 = 101,768.02 : x
  2. Step 2: Convert to fraction form
    139,705.18/209,470.11 = 101,768.02/x
  3. Step 3: Cross multiply
    139,705.18x = 209,470.11 × 101,768.02
  4. Step 4: Simplify right side
    139,705.18x = 21,317,358,343.88
  5. Step 5: Solve for x
    x = 21,317,358,343.88/139,705.18
  6. Step 6: Final answer
    x = 152,588.17

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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.