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Finding the Fourth Proportional to 130,917, 180,665.46 and 71,301

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Solution

The fourth proportional to 130,917, 180,665.46 and 71,301 is: 98,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,917 : 180,665.46 = 71,301 : x
  2. Step 2: Convert to fraction form
    130,917/180,665.46 = 71,301/x
  3. Step 3: Cross multiply
    130,917x = 180,665.46 × 71,301
  4. Step 4: Simplify right side
    130,917x = 12,881,627,963.46
  5. Step 5: Solve for x
    x = 12,881,627,963.46/130,917
  6. Step 6: Final answer
    x = 98,395.38

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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.