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Finding the Fourth Proportional to 64,821.60, 97,228.80 and 20,447.52

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Solution

The fourth proportional to 64,821.60, 97,228.80 and 20,447.52 is: 30,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821.60 : 97,228.80 = 20,447.52 : x
  2. Step 2: Convert to fraction form
    64,821.60/97,228.80 = 20,447.52/x
  3. Step 3: Cross multiply
    64,821.60x = 97,228.80 × 20,447.52
  4. Step 4: Simplify right side
    64,821.60x = 1,988,087,832.58
  5. Step 5: Solve for x
    x = 1,988,087,832.58/64,821.60
  6. Step 6: Final answer
    x = 30,670.14

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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.