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Finding the Fourth Proportional to 205,310.74, 307,972.60 and 65,070.58

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Solution

The fourth proportional to 205,310.74, 307,972.60 and 65,070.58 is: 97,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,310.74 : 307,972.60 = 65,070.58 : x
  2. Step 2: Convert to fraction form
    205,310.74/307,972.60 = 65,070.58/x
  3. Step 3: Cross multiply
    205,310.74x = 307,972.60 × 65,070.58
  4. Step 4: Simplify right side
    205,310.74x = 20,039,955,706.11
  5. Step 5: Solve for x
    x = 20,039,955,706.11/205,310.74
  6. Step 6: Final answer
    x = 97,607.93

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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.