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Finding the Fourth Proportional to 209,966.35, 315,080.14 and 85,307.35

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Solution

The fourth proportional to 209,966.35, 315,080.14 and 85,307.35 is: 128,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,966.35 : 315,080.14 = 85,307.35 : x
  2. Step 2: Convert to fraction form
    209,966.35/315,080.14 = 85,307.35/x
  3. Step 3: Cross multiply
    209,966.35x = 315,080.14 × 85,307.35
  4. Step 4: Simplify right side
    209,966.35x = 26,878,651,781.03
  5. Step 5: Solve for x
    x = 26,878,651,781.03/209,966.35
  6. Step 6: Final answer
    x = 128,014.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.