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Finding the Fourth Proportional to 130,944, 180,704.64 and 71,328

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Solution

The fourth proportional to 130,944, 180,704.64 and 71,328 is: 98,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,944 : 180,704.64 = 71,328 : x
  2. Step 2: Convert to fraction form
    130,944/180,704.64 = 71,328/x
  3. Step 3: Cross multiply
    130,944x = 180,704.64 × 71,328
  4. Step 4: Simplify right side
    130,944x = 12,889,300,561.92
  5. Step 5: Solve for x
    x = 12,889,300,561.92/130,944
  6. Step 6: Final answer
    x = 98,433.69

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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.