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Finding the Fourth Proportional to 102,980.81, 142,115.69 and 58,268.81

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Solution

The fourth proportional to 102,980.81, 142,115.69 and 58,268.81 is: 80,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.81 : 142,115.69 = 58,268.81 : x
  2. Step 2: Convert to fraction form
    102,980.81/142,115.69 = 58,268.81/x
  3. Step 3: Cross multiply
    102,980.81x = 142,115.69 × 58,268.81
  4. Step 4: Simplify right side
    102,980.81x = 8,280,912,639.59
  5. Step 5: Solve for x
    x = 8,280,912,639.59/102,980.81
  6. Step 6: Final answer
    x = 80,412.19

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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.