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Finding the Fourth Proportional to 209,755.83, 289,441.47 and 117,860.52

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Solution

The fourth proportional to 209,755.83, 289,441.47 and 117,860.52 is: 162,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,755.83 : 289,441.47 = 117,860.52 : x
  2. Step 2: Convert to fraction form
    209,755.83/289,441.47 = 117,860.52/x
  3. Step 3: Cross multiply
    209,755.83x = 289,441.47 × 117,860.52
  4. Step 4: Simplify right side
    209,755.83x = 34,113,721,574.46
  5. Step 5: Solve for x
    x = 34,113,721,574.46/209,755.83
  6. Step 6: Final answer
    x = 162,635.39

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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.