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Finding the Fourth Proportional to 210,223.80, 314,817.30 and 139,721.40

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Solution

The fourth proportional to 210,223.80, 314,817.30 and 139,721.40 is: 209,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,223.80 : 314,817.30 = 139,721.40 : x
  2. Step 2: Convert to fraction form
    210,223.80/314,817.30 = 139,721.40/x
  3. Step 3: Cross multiply
    210,223.80x = 314,817.30 × 139,721.40
  4. Step 4: Simplify right side
    210,223.80x = 43,986,713,900.22
  5. Step 5: Solve for x
    x = 43,986,713,900.22/210,223.80
  6. Step 6: Final answer
    x = 209,237.55

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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.