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Finding the Fourth Proportional to 130,500, 180,105.36 and 77,508

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Solution

The fourth proportional to 130,500, 180,105.36 and 77,508 is: 106,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500 : 180,105.36 = 77,508 : x
  2. Step 2: Convert to fraction form
    130,500/180,105.36 = 77,508/x
  3. Step 3: Cross multiply
    130,500x = 180,105.36 × 77,508
  4. Step 4: Simplify right side
    130,500x = 13,959,606,242.88
  5. Step 5: Solve for x
    x = 13,959,606,242.88/130,500
  6. Step 6: Final answer
    x = 106,970.16

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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.