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Finding the Fourth Proportional to 209,398.89, 288,970.59 and 118,725.87

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Solution

The fourth proportional to 209,398.89, 288,970.59 and 118,725.87 is: 163,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,398.89 : 288,970.59 = 118,725.87 : x
  2. Step 2: Convert to fraction form
    209,398.89/288,970.59 = 118,725.87/x
  3. Step 3: Cross multiply
    209,398.89x = 288,970.59 × 118,725.87
  4. Step 4: Simplify right side
    209,398.89x = 34,308,284,702.16
  5. Step 5: Solve for x
    x = 34,308,284,702.16/209,398.89
  6. Step 6: Final answer
    x = 163,841.77

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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.