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Finding the Fourth Proportional to 210,791.06, 316,190.70 and 77,602.76

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Solution

The fourth proportional to 210,791.06, 316,190.70 and 77,602.76 is: 116,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.06 : 316,190.70 = 77,602.76 : x
  2. Step 2: Convert to fraction form
    210,791.06/316,190.70 = 77,602.76/x
  3. Step 3: Cross multiply
    210,791.06x = 316,190.70 × 77,602.76
  4. Step 4: Simplify right side
    210,791.06x = 24,537,269,425.38
  5. Step 5: Solve for x
    x = 24,537,269,425.38/210,791.06
  6. Step 6: Final answer
    x = 116,405.65

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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.