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Finding the Fourth Proportional to 208,113.92, 312,044.47 and 81,602.59

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Solution

The fourth proportional to 208,113.92, 312,044.47 and 81,602.59 is: 122,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,113.92 : 312,044.47 = 81,602.59 : x
  2. Step 2: Convert to fraction form
    208,113.92/312,044.47 = 81,602.59/x
  3. Step 3: Cross multiply
    208,113.92x = 312,044.47 × 81,602.59
  4. Step 4: Simplify right side
    208,113.92x = 25,463,636,539.16
  5. Step 5: Solve for x
    x = 25,463,636,539.16/208,113.92
  6. Step 6: Final answer
    x = 122,354.32

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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.