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Finding the Fourth Proportional to 64,772.65, 89,233.10 and 61,783.14

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Solution

The fourth proportional to 64,772.65, 89,233.10 and 61,783.14 is: 85,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,772.65 : 89,233.10 = 61,783.14 : x
  2. Step 2: Convert to fraction form
    64,772.65/89,233.10 = 61,783.14/x
  3. Step 3: Cross multiply
    64,772.65x = 89,233.10 × 61,783.14
  4. Step 4: Simplify right side
    64,772.65x = 5,513,101,109.93
  5. Step 5: Solve for x
    x = 5,513,101,109.93/64,772.65
  6. Step 6: Final answer
    x = 85,114.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.