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Finding the Fourth Proportional to 209,238.63, 288,743.22 and 118,602.93

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Solution

The fourth proportional to 209,238.63, 288,743.22 and 118,602.93 is: 163,668.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,238.63 : 288,743.22 = 118,602.93 : x
  2. Step 2: Convert to fraction form
    209,238.63/288,743.22 = 118,602.93/x
  3. Step 3: Cross multiply
    209,238.63x = 288,743.22 × 118,602.93
  4. Step 4: Simplify right side
    209,238.63x = 34,245,791,909.63
  5. Step 5: Solve for x
    x = 34,245,791,909.63/209,238.63
  6. Step 6: Final answer
    x = 163,668.59

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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.