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Finding the Fourth Proportional to 64,954.54, 97,434.51 and 20,580.31

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Solution

The fourth proportional to 64,954.54, 97,434.51 and 20,580.31 is: 30,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,954.54 : 97,434.51 = 20,580.31 : x
  2. Step 2: Convert to fraction form
    64,954.54/97,434.51 = 20,580.31/x
  3. Step 3: Cross multiply
    64,954.54x = 97,434.51 × 20,580.31
  4. Step 4: Simplify right side
    64,954.54x = 2,005,232,420.50
  5. Step 5: Solve for x
    x = 2,005,232,420.50/64,954.54
  6. Step 6: Final answer
    x = 30,871.32

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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.