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Finding the Fourth Proportional to 208,355.69, 312,491.42 and 58,602.89

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Solution

The fourth proportional to 208,355.69, 312,491.42 and 58,602.89 is: 87,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,355.69 : 312,491.42 = 58,602.89 : x
  2. Step 2: Convert to fraction form
    208,355.69/312,491.42 = 58,602.89/x
  3. Step 3: Cross multiply
    208,355.69x = 312,491.42 × 58,602.89
  4. Step 4: Simplify right side
    208,355.69x = 18,312,901,020.18
  5. Step 5: Solve for x
    x = 18,312,901,020.18/208,355.69
  6. Step 6: Final answer
    x = 87,892.49

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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.