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Finding the Fourth Proportional to 210,790.87, 316,190.42 and 77,602.57

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Solution

The fourth proportional to 210,790.87, 316,190.42 and 77,602.57 is: 116,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,790.87 : 316,190.42 = 77,602.57 : x
  2. Step 2: Convert to fraction form
    210,790.87/316,190.42 = 77,602.57/x
  3. Step 3: Cross multiply
    210,790.87x = 316,190.42 × 77,602.57
  4. Step 4: Simplify right side
    210,790.87x = 24,537,189,201.38
  5. Step 5: Solve for x
    x = 24,537,189,201.38/210,790.87
  6. Step 6: Final answer
    x = 116,405.37

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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.