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Finding the Fourth Proportional to 130,517, 180,113.46 and 70,901

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Solution

The fourth proportional to 130,517, 180,113.46 and 70,901 is: 97,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,517 : 180,113.46 = 70,901 : x
  2. Step 2: Convert to fraction form
    130,517/180,113.46 = 70,901/x
  3. Step 3: Cross multiply
    130,517x = 180,113.46 × 70,901
  4. Step 4: Simplify right side
    130,517x = 12,770,224,427.46
  5. Step 5: Solve for x
    x = 12,770,224,427.46/130,517
  6. Step 6: Final answer
    x = 97,843.38

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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.