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Finding the Fourth Proportional to 140,495.95, 210,645.36 and 51,738.08

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Solution

The fourth proportional to 140,495.95, 210,645.36 and 51,738.08 is: 77,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,495.95 : 210,645.36 = 51,738.08 : x
  2. Step 2: Convert to fraction form
    140,495.95/210,645.36 = 51,738.08/x
  3. Step 3: Cross multiply
    140,495.95x = 210,645.36 × 51,738.08
  4. Step 4: Simplify right side
    140,495.95x = 10,898,385,434.08
  5. Step 5: Solve for x
    x = 10,898,385,434.08/140,495.95
  6. Step 6: Final answer
    x = 77,570.81

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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.