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Finding the Fourth Proportional to 209,582.58, 289,224 and 114,090

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Solution

The fourth proportional to 209,582.58, 289,224 and 114,090 is: 157,444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,582.58 : 289,224 = 114,090 : x
  2. Step 2: Convert to fraction form
    209,582.58/289,224 = 114,090/x
  3. Step 3: Cross multiply
    209,582.58x = 289,224 × 114,090
  4. Step 4: Simplify right side
    209,582.58x = 32,997,566,160
  5. Step 5: Solve for x
    x = 32,997,566,160/209,582.58
  6. Step 6: Final answer
    x = 157,444.22

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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.