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Finding the Fourth Proportional to 180,075.56, 270,031.26 and 74,831.72

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Solution

The fourth proportional to 180,075.56, 270,031.26 and 74,831.72 is: 112,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,075.56 : 270,031.26 = 74,831.72 : x
  2. Step 2: Convert to fraction form
    180,075.56/270,031.26 = 74,831.72/x
  3. Step 3: Cross multiply
    180,075.56x = 270,031.26 × 74,831.72
  4. Step 4: Simplify right side
    180,075.56x = 20,206,903,639.57
  5. Step 5: Solve for x
    x = 20,206,903,639.57/180,075.56
  6. Step 6: Final answer
    x = 112,213.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.