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Finding the Fourth Proportional to 64,509.12, 96,765.12 and 17,763.84

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Solution

The fourth proportional to 64,509.12, 96,765.12 and 17,763.84 is: 26,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,509.12 : 96,765.12 = 17,763.84 : x
  2. Step 2: Convert to fraction form
    64,509.12/96,765.12 = 17,763.84/x
  3. Step 3: Cross multiply
    64,509.12x = 96,765.12 × 17,763.84
  4. Step 4: Simplify right side
    64,509.12x = 1,718,920,109.26
  5. Step 5: Solve for x
    x = 1,718,920,109.26/64,509.12
  6. Step 6: Final answer
    x = 26,646.16

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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.