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Finding the Fourth Proportional to 103,696.80, 155,478.24 and 56,937.12

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Solution

The fourth proportional to 103,696.80, 155,478.24 and 56,937.12 is: 85,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696.80 : 155,478.24 = 56,937.12 : x
  2. Step 2: Convert to fraction form
    103,696.80/155,478.24 = 56,937.12/x
  3. Step 3: Cross multiply
    103,696.80x = 155,478.24 × 56,937.12
  4. Step 4: Simplify right side
    103,696.80x = 8,852,483,208.27
  5. Step 5: Solve for x
    x = 8,852,483,208.27/103,696.80
  6. Step 6: Final answer
    x = 85,368.91

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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.