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Finding the Fourth Proportional to 139,817.84, 209,519.36 and 102,700.40

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Solution

The fourth proportional to 139,817.84, 209,519.36 and 102,700.40 is: 153,898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,817.84 : 209,519.36 = 102,700.40 : x
  2. Step 2: Convert to fraction form
    139,817.84/209,519.36 = 102,700.40/x
  3. Step 3: Cross multiply
    139,817.84x = 209,519.36 × 102,700.40
  4. Step 4: Simplify right side
    139,817.84x = 21,517,722,079.74
  5. Step 5: Solve for x
    x = 21,517,722,079.74/139,817.84
  6. Step 6: Final answer
    x = 153,898.26

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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.