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Finding the Fourth Proportional to 102,980.13, 142,114.73 and 58,268.13

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Solution

The fourth proportional to 102,980.13, 142,114.73 and 58,268.13 is: 80,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,980.13 : 142,114.73 = 58,268.13 : x
  2. Step 2: Convert to fraction form
    102,980.13/142,114.73 = 58,268.13/x
  3. Step 3: Cross multiply
    102,980.13x = 142,114.73 × 58,268.13
  4. Step 4: Simplify right side
    102,980.13x = 8,280,759,562.55
  5. Step 5: Solve for x
    x = 8,280,759,562.55/102,980.13
  6. Step 6: Final answer
    x = 80,411.24

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