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Finding the Fourth Proportional to 102,866.45, 141,950.76 and 64,645.79

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Solution

The fourth proportional to 102,866.45, 141,950.76 and 64,645.79 is: 89,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,866.45 : 141,950.76 = 64,645.79 : x
  2. Step 2: Convert to fraction form
    102,866.45/141,950.76 = 64,645.79/x
  3. Step 3: Cross multiply
    102,866.45x = 141,950.76 × 64,645.79
  4. Step 4: Simplify right side
    102,866.45x = 9,176,519,021.30
  5. Step 5: Solve for x
    x = 9,176,519,021.30/102,866.45
  6. Step 6: Final answer
    x = 89,208.09

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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.