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Finding the Fourth Proportional to 209,051.84, 288,497.80 and 113,565

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Solution

The fourth proportional to 209,051.84, 288,497.80 and 113,565 is: 156,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,051.84 : 288,497.80 = 113,565 : x
  2. Step 2: Convert to fraction form
    209,051.84/288,497.80 = 113,565/x
  3. Step 3: Cross multiply
    209,051.84x = 288,497.80 × 113,565
  4. Step 4: Simplify right side
    209,051.84x = 32,763,252,657
  5. Step 5: Solve for x
    x = 32,763,252,657/209,051.84
  6. Step 6: Final answer
    x = 156,723.10

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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.