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Finding the Fourth Proportional to 130,402.68, 179,945.80 and 79,409.77

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Solution

The fourth proportional to 130,402.68, 179,945.80 and 79,409.77 is: 109,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,402.68 : 179,945.80 = 79,409.77 : x
  2. Step 2: Convert to fraction form
    130,402.68/179,945.80 = 79,409.77/x
  3. Step 3: Cross multiply
    130,402.68x = 179,945.80 × 79,409.77
  4. Step 4: Simplify right side
    130,402.68x = 14,289,454,388.76
  5. Step 5: Solve for x
    x = 14,289,454,388.76/130,402.68
  6. Step 6: Final answer
    x = 109,579.46

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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.