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Finding the Fourth Proportional to 130,636, 180,278.96 and 71,021.28

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Solution

The fourth proportional to 130,636, 180,278.96 and 71,021.28 is: 98,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,636 : 180,278.96 = 71,021.28 : x
  2. Step 2: Convert to fraction form
    130,636/180,278.96 = 71,021.28/x
  3. Step 3: Cross multiply
    130,636x = 180,278.96 × 71,021.28
  4. Step 4: Simplify right side
    130,636x = 12,803,642,496.27
  5. Step 5: Solve for x
    x = 12,803,642,496.27/130,636
  6. Step 6: Final answer
    x = 98,010.06

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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.