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Finding the Fourth Proportional to 209,957.16, 289,746.39 and 129,437.89

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Solution

The fourth proportional to 209,957.16, 289,746.39 and 129,437.89 is: 178,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.16 : 289,746.39 = 129,437.89 : x
  2. Step 2: Convert to fraction form
    209,957.16/289,746.39 = 129,437.89/x
  3. Step 3: Cross multiply
    209,957.16x = 289,746.39 × 129,437.89
  4. Step 4: Simplify right side
    209,957.16x = 37,504,161,356.72
  5. Step 5: Solve for x
    x = 37,504,161,356.72/209,957.16
  6. Step 6: Final answer
    x = 178,627.69

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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.