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Finding the Fourth Proportional to 210,602.94, 315,572.31 and 77,299.80

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Solution

The fourth proportional to 210,602.94, 315,572.31 and 77,299.80 is: 115,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,602.94 : 315,572.31 = 77,299.80 : x
  2. Step 2: Convert to fraction form
    210,602.94/315,572.31 = 77,299.80/x
  3. Step 3: Cross multiply
    210,602.94x = 315,572.31 × 77,299.80
  4. Step 4: Simplify right side
    210,602.94x = 24,393,676,448.54
  5. Step 5: Solve for x
    x = 24,393,676,448.54/210,602.94
  6. Step 6: Final answer
    x = 115,827.81

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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.