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Finding the Fourth Proportional to 130,651.34, 180,105.54 and 101,938.46

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Solution

The fourth proportional to 130,651.34, 180,105.54 and 101,938.46 is: 140,524.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,651.34 : 180,105.54 = 101,938.46 : x
  2. Step 2: Convert to fraction form
    130,651.34/180,105.54 = 101,938.46/x
  3. Step 3: Cross multiply
    130,651.34x = 180,105.54 × 101,938.46
  4. Step 4: Simplify right side
    130,651.34x = 18,359,681,385.07
  5. Step 5: Solve for x
    x = 18,359,681,385.07/130,651.34
  6. Step 6: Final answer
    x = 140,524.25

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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.