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Finding the Fourth Proportional to 130,930, 180,683.40 and 71,314

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Solution

The fourth proportional to 130,930, 180,683.40 and 71,314 is: 98,413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,930 : 180,683.40 = 71,314 : x
  2. Step 2: Convert to fraction form
    130,930/180,683.40 = 71,314/x
  3. Step 3: Cross multiply
    130,930x = 180,683.40 × 71,314
  4. Step 4: Simplify right side
    130,930x = 12,885,255,987.60
  5. Step 5: Solve for x
    x = 12,885,255,987.60/130,930
  6. Step 6: Final answer
    x = 98,413.32

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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.