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Finding the Fourth Proportional to 205,090.64, 307,673.40 and 64,888.40

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Solution

The fourth proportional to 205,090.64, 307,673.40 and 64,888.40 is: 97,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,090.64 : 307,673.40 = 64,888.40 : x
  2. Step 2: Convert to fraction form
    205,090.64/307,673.40 = 64,888.40/x
  3. Step 3: Cross multiply
    205,090.64x = 307,673.40 × 64,888.40
  4. Step 4: Simplify right side
    205,090.64x = 19,964,434,648.56
  5. Step 5: Solve for x
    x = 19,964,434,648.56/205,090.64
  6. Step 6: Final answer
    x = 97,344.45

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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.