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Finding the Fourth Proportional to 130,556, 180,168.36 and 70,940

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Solution

The fourth proportional to 130,556, 180,168.36 and 70,940 is: 97,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,556 : 180,168.36 = 70,940 : x
  2. Step 2: Convert to fraction form
    130,556/180,168.36 = 70,940/x
  3. Step 3: Cross multiply
    130,556x = 180,168.36 × 70,940
  4. Step 4: Simplify right side
    130,556x = 12,781,143,458.40
  5. Step 5: Solve for x
    x = 12,781,143,458.40/130,556
  6. Step 6: Final answer
    x = 97,897.79

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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.