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Finding the Fourth Proportional to 130,545, 180,152.28 and 73,960.20

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Solution

The fourth proportional to 130,545, 180,152.28 and 73,960.20 is: 102,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,545 : 180,152.28 = 73,960.20 : x
  2. Step 2: Convert to fraction form
    130,545/180,152.28 = 73,960.20/x
  3. Step 3: Cross multiply
    130,545x = 180,152.28 × 73,960.20
  4. Step 4: Simplify right side
    130,545x = 13,324,098,659.26
  5. Step 5: Solve for x
    x = 13,324,098,659.26/130,545
  6. Step 6: Final answer
    x = 102,065.18

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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.