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Finding the Fourth Proportional to 210,357.20, 315,348.24 and 77,206.57

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Solution

The fourth proportional to 210,357.20, 315,348.24 and 77,206.57 is: 115,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,357.20 : 315,348.24 = 77,206.57 : x
  2. Step 2: Convert to fraction form
    210,357.20/315,348.24 = 77,206.57/x
  3. Step 3: Cross multiply
    210,357.20x = 315,348.24 × 77,206.57
  4. Step 4: Simplify right side
    210,357.20x = 24,346,955,032.80
  5. Step 5: Solve for x
    x = 24,346,955,032.80/210,357.20
  6. Step 6: Final answer
    x = 115,741.01

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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.