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Finding the Fourth Proportional to 210,257.80, 314,868.30 and 139,755.40

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Solution

The fourth proportional to 210,257.80, 314,868.30 and 139,755.40 is: 209,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,257.80 : 314,868.30 = 139,755.40 : x
  2. Step 2: Convert to fraction form
    210,257.80/314,868.30 = 139,755.40/x
  3. Step 3: Cross multiply
    210,257.80x = 314,868.30 × 139,755.40
  4. Step 4: Simplify right side
    210,257.80x = 44,004,545,213.82
  5. Step 5: Solve for x
    x = 44,004,545,213.82/210,257.80
  6. Step 6: Final answer
    x = 209,288.53

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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.