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Finding the Fourth Proportional to 208,951.65, 288,352.31 and 113,457.51

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Solution

The fourth proportional to 208,951.65, 288,352.31 and 113,457.51 is: 156,570.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.65 : 288,352.31 = 113,457.51 : x
  2. Step 2: Convert to fraction form
    208,951.65/288,352.31 = 113,457.51/x
  3. Step 3: Cross multiply
    208,951.65x = 288,352.31 × 113,457.51
  4. Step 4: Simplify right side
    208,951.65x = 32,715,734,528.06
  5. Step 5: Solve for x
    x = 32,715,734,528.06/208,951.65
  6. Step 6: Final answer
    x = 156,570.84

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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.