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Finding the Fourth Proportional to 130,969.01, 180,758.97 and 77,267.22

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Solution

The fourth proportional to 130,969.01, 180,758.97 and 77,267.22 is: 106,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,969.01 : 180,758.97 = 77,267.22 : x
  2. Step 2: Convert to fraction form
    130,969.01/180,758.97 = 77,267.22/x
  3. Step 3: Cross multiply
    130,969.01x = 180,758.97 × 77,267.22
  4. Step 4: Simplify right side
    130,969.01x = 13,966,743,101.96
  5. Step 5: Solve for x
    x = 13,966,743,101.96/130,969.01
  6. Step 6: Final answer
    x = 106,641.59

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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.