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Finding the Fourth Proportional to 130,980.96, 180,775.56 and 77,279.28

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Solution

The fourth proportional to 130,980.96, 180,775.56 and 77,279.28 is: 106,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980.96 : 180,775.56 = 77,279.28 : x
  2. Step 2: Convert to fraction form
    130,980.96/180,775.56 = 77,279.28/x
  3. Step 3: Cross multiply
    130,980.96x = 180,775.56 × 77,279.28
  4. Step 4: Simplify right side
    130,980.96x = 13,970,205,118.40
  5. Step 5: Solve for x
    x = 13,970,205,118.40/130,980.96
  6. Step 6: Final answer
    x = 106,658.29

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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.