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Finding the Fourth Proportional to 64,840.32, 97,255.44 and 20,468.40

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Solution

The fourth proportional to 64,840.32, 97,255.44 and 20,468.40 is: 30,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840.32 : 97,255.44 = 20,468.40 : x
  2. Step 2: Convert to fraction form
    64,840.32/97,255.44 = 20,468.40/x
  3. Step 3: Cross multiply
    64,840.32x = 97,255.44 × 20,468.40
  4. Step 4: Simplify right side
    64,840.32x = 1,990,663,248.10
  5. Step 5: Solve for x
    x = 1,990,663,248.10/64,840.32
  6. Step 6: Final answer
    x = 30,701.01

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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.