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Finding the Fourth Proportional to 103,433.87, 155,006.15 and 55,946.40

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Solution

The fourth proportional to 103,433.87, 155,006.15 and 55,946.40 is: 83,841.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,433.87 : 155,006.15 = 55,946.40 : x
  2. Step 2: Convert to fraction form
    103,433.87/155,006.15 = 55,946.40/x
  3. Step 3: Cross multiply
    103,433.87x = 155,006.15 × 55,946.40
  4. Step 4: Simplify right side
    103,433.87x = 8,672,035,790.63
  5. Step 5: Solve for x
    x = 8,672,035,790.63/103,433.87
  6. Step 6: Final answer
    x = 83,841.36

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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.