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Finding the Fourth Proportional to 103,012.86, 142,146 and 57,684.54

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Solution

The fourth proportional to 103,012.86, 142,146 and 57,684.54 is: 79,598.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,012.86 : 142,146 = 57,684.54 : x
  2. Step 2: Convert to fraction form
    103,012.86/142,146 = 57,684.54/x
  3. Step 3: Cross multiply
    103,012.86x = 142,146 × 57,684.54
  4. Step 4: Simplify right side
    103,012.86x = 8,199,626,622.84
  5. Step 5: Solve for x
    x = 8,199,626,622.84/103,012.86
  6. Step 6: Final answer
    x = 79,598.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.