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Finding the Fourth Proportional to 64,725.78, 97,088.64 and 17,978.64

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Solution

The fourth proportional to 64,725.78, 97,088.64 and 17,978.64 is: 26,967.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,725.78 : 97,088.64 = 17,978.64 : x
  2. Step 2: Convert to fraction form
    64,725.78/97,088.64 = 17,978.64/x
  3. Step 3: Cross multiply
    64,725.78x = 97,088.64 × 17,978.64
  4. Step 4: Simplify right side
    64,725.78x = 1,745,521,706.65
  5. Step 5: Solve for x
    x = 1,745,521,706.65/64,725.78
  6. Step 6: Final answer
    x = 26,967.95

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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.