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Finding the Fourth Proportional to 130,855.64, 180,576.42 and 77,139.68

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Solution

The fourth proportional to 130,855.64, 180,576.42 and 77,139.68 is: 106,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,855.64 : 180,576.42 = 77,139.68 : x
  2. Step 2: Convert to fraction form
    130,855.64/180,576.42 = 77,139.68/x
  3. Step 3: Cross multiply
    130,855.64x = 180,576.42 × 77,139.68
  4. Step 4: Simplify right side
    130,855.64x = 13,929,607,254.35
  5. Step 5: Solve for x
    x = 13,929,607,254.35/130,855.64
  6. Step 6: Final answer
    x = 106,450.19

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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.