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Finding the Fourth Proportional to 130,738, 180,421.32 and 71,122

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Solution

The fourth proportional to 130,738, 180,421.32 and 71,122 is: 98,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,738 : 180,421.32 = 71,122 : x
  2. Step 2: Convert to fraction form
    130,738/180,421.32 = 71,122/x
  3. Step 3: Cross multiply
    130,738x = 180,421.32 × 71,122
  4. Step 4: Simplify right side
    130,738x = 12,831,925,121.04
  5. Step 5: Solve for x
    x = 12,831,925,121.04/130,738
  6. Step 6: Final answer
    x = 98,149.93

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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.