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Finding the Fourth Proportional to 205,096.16, 307,642.32 and 64,854.80

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Solution

The fourth proportional to 205,096.16, 307,642.32 and 64,854.80 is: 97,281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,096.16 : 307,642.32 = 64,854.80 : x
  2. Step 2: Convert to fraction form
    205,096.16/307,642.32 = 64,854.80/x
  3. Step 3: Cross multiply
    205,096.16x = 307,642.32 × 64,854.80
  4. Step 4: Simplify right side
    205,096.16x = 19,952,081,135.14
  5. Step 5: Solve for x
    x = 19,952,081,135.14/205,096.16
  6. Step 6: Final answer
    x = 97,281.59

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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.