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Finding the Fourth Proportional to 64,878.58, 97,309.48 and 20,509.80

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Solution

The fourth proportional to 64,878.58, 97,309.48 and 20,509.80 is: 30,762.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,878.58 : 97,309.48 = 20,509.80 : x
  2. Step 2: Convert to fraction form
    64,878.58/97,309.48 = 20,509.80/x
  3. Step 3: Cross multiply
    64,878.58x = 97,309.48 × 20,509.80
  4. Step 4: Simplify right side
    64,878.58x = 1,995,797,972.90
  5. Step 5: Solve for x
    x = 1,995,797,972.90/64,878.58
  6. Step 6: Final answer
    x = 30,762.05

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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.