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Finding the Fourth Proportional to 205,160.68, 307,737.82 and 105,263.22

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Solution

The fourth proportional to 205,160.68, 307,737.82 and 105,263.22 is: 157,893.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,160.68 : 307,737.82 = 105,263.22 : x
  2. Step 2: Convert to fraction form
    205,160.68/307,737.82 = 105,263.22/x
  3. Step 3: Cross multiply
    205,160.68x = 307,737.82 × 105,263.22
  4. Step 4: Simplify right side
    205,160.68x = 32,393,473,848.98
  5. Step 5: Solve for x
    x = 32,393,473,848.98/205,160.68
  6. Step 6: Final answer
    x = 157,893.19

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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.