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Finding the Fourth Proportional to 130,993, 180,355.86 and 119,020.52

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Solution

The fourth proportional to 130,993, 180,355.86 and 119,020.52 is: 163,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,993 : 180,355.86 = 119,020.52 : x
  2. Step 2: Convert to fraction form
    130,993/180,355.86 = 119,020.52/x
  3. Step 3: Cross multiply
    130,993x = 180,355.86 × 119,020.52
  4. Step 4: Simplify right side
    130,993x = 21,466,048,242.25
  5. Step 5: Solve for x
    x = 21,466,048,242.25/130,993
  6. Step 6: Final answer
    x = 163,871.72

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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.