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Finding the Fourth Proportional to 103,007.95, 155,213.82 and 84,698.16

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Solution

The fourth proportional to 103,007.95, 155,213.82 and 84,698.16 is: 127,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,007.95 : 155,213.82 = 84,698.16 : x
  2. Step 2: Convert to fraction form
    103,007.95/155,213.82 = 84,698.16/x
  3. Step 3: Cross multiply
    103,007.95x = 155,213.82 × 84,698.16
  4. Step 4: Simplify right side
    103,007.95x = 13,146,324,378.52
  5. Step 5: Solve for x
    x = 13,146,324,378.52/103,007.95
  6. Step 6: Final answer
    x = 127,624.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.