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Finding the Fourth Proportional to 130,566, 180,188.37 and 73,995.60

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Solution

The fourth proportional to 130,566, 180,188.37 and 73,995.60 is: 102,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,566 : 180,188.37 = 73,995.60 : x
  2. Step 2: Convert to fraction form
    130,566/180,188.37 = 73,995.60/x
  3. Step 3: Cross multiply
    130,566x = 180,188.37 × 73,995.60
  4. Step 4: Simplify right side
    130,566x = 13,333,146,551.17
  5. Step 5: Solve for x
    x = 13,333,146,551.17/130,566
  6. Step 6: Final answer
    x = 102,118.06

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1.5x scale

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.