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Finding the Fourth Proportional to 130,963, 180,728.94 and 71,347

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Solution

The fourth proportional to 130,963, 180,728.94 and 71,347 is: 98,458.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,963 : 180,728.94 = 71,347 : x
  2. Step 2: Convert to fraction form
    130,963/180,728.94 = 71,347/x
  3. Step 3: Cross multiply
    130,963x = 180,728.94 × 71,347
  4. Step 4: Simplify right side
    130,963x = 12,894,467,682.18
  5. Step 5: Solve for x
    x = 12,894,467,682.18/130,963
  6. Step 6: Final answer
    x = 98,458.86

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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.