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Finding the Fourth Proportional to 253,790.69, 380,688.66 and 102,057.98

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Solution

The fourth proportional to 253,790.69, 380,688.66 and 102,057.98 is: 153,088.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,790.69 : 380,688.66 = 102,057.98 : x
  2. Step 2: Convert to fraction form
    253,790.69/380,688.66 = 102,057.98/x
  3. Step 3: Cross multiply
    253,790.69x = 380,688.66 × 102,057.98
  4. Step 4: Simplify right side
    253,790.69x = 38,852,313,745.06
  5. Step 5: Solve for x
    x = 38,852,313,745.06/253,790.69
  6. Step 6: Final answer
    x = 153,088.02

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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.