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Finding the Fourth Proportional to 100,986.96, 139,362.16 and 58,570.16

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Solution

The fourth proportional to 100,986.96, 139,362.16 and 58,570.16 is: 80,826.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,986.96 : 139,362.16 = 58,570.16 : x
  2. Step 2: Convert to fraction form
    100,986.96/139,362.16 = 58,570.16/x
  3. Step 3: Cross multiply
    100,986.96x = 139,362.16 × 58,570.16
  4. Step 4: Simplify right side
    100,986.96x = 8,162,464,009.15
  5. Step 5: Solve for x
    x = 8,162,464,009.15/100,986.96
  6. Step 6: Final answer
    x = 80,826.91

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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.