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Finding the Fourth Proportional to 290,025.76, 435,055.26 and 76,788.13

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Solution

The fourth proportional to 290,025.76, 435,055.26 and 76,788.13 is: 115,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,025.76 : 435,055.26 = 76,788.13 : x
  2. Step 2: Convert to fraction form
    290,025.76/435,055.26 = 76,788.13/x
  3. Step 3: Cross multiply
    290,025.76x = 435,055.26 × 76,788.13
  4. Step 4: Simplify right side
    290,025.76x = 33,407,077,686.79
  5. Step 5: Solve for x
    x = 33,407,077,686.79/290,025.76
  6. Step 6: Final answer
    x = 115,186.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.