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Finding the Fourth Proportional to 102,564.78, 153,827.66 and 43,441.94

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Solution

The fourth proportional to 102,564.78, 153,827.66 and 43,441.94 is: 65,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,564.78 : 153,827.66 = 43,441.94 : x
  2. Step 2: Convert to fraction form
    102,564.78/153,827.66 = 43,441.94/x
  3. Step 3: Cross multiply
    102,564.78x = 153,827.66 × 43,441.94
  4. Step 4: Simplify right side
    102,564.78x = 6,682,570,989.71
  5. Step 5: Solve for x
    x = 6,682,570,989.71/102,564.78
  6. Step 6: Final answer
    x = 65,154.64

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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.