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Finding the Fourth Proportional to 205,065.70, 307,368.15 and 105,187.30

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Solution

The fourth proportional to 205,065.70, 307,368.15 and 105,187.30 is: 157,662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,065.70 : 307,368.15 = 105,187.30 : x
  2. Step 2: Convert to fraction form
    205,065.70/307,368.15 = 105,187.30/x
  3. Step 3: Cross multiply
    205,065.70x = 307,368.15 × 105,187.30
  4. Step 4: Simplify right side
    205,065.70x = 32,331,225,804.50
  5. Step 5: Solve for x
    x = 32,331,225,804.50/205,065.70
  6. Step 6: Final answer
    x = 157,662.77

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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.