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Finding the Fourth Proportional to 103,681.76, 143,081.04 and 58,969.76

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Solution

The fourth proportional to 103,681.76, 143,081.04 and 58,969.76 is: 81,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681.76 : 143,081.04 = 58,969.76 : x
  2. Step 2: Convert to fraction form
    103,681.76/143,081.04 = 58,969.76/x
  3. Step 3: Cross multiply
    103,681.76x = 143,081.04 × 58,969.76
  4. Step 4: Simplify right side
    103,681.76x = 8,437,454,589.35
  5. Step 5: Solve for x
    x = 8,437,454,589.35/103,681.76
  6. Step 6: Final answer
    x = 81,378.39

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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.