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Finding the Fourth Proportional to 209,762.49, 314,689.31 and 76,642.55

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Solution

The fourth proportional to 209,762.49, 314,689.31 and 76,642.55 is: 114,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,762.49 : 314,689.31 = 76,642.55 : x
  2. Step 2: Convert to fraction form
    209,762.49/314,689.31 = 76,642.55/x
  3. Step 3: Cross multiply
    209,762.49x = 314,689.31 × 76,642.55
  4. Step 4: Simplify right side
    209,762.49x = 24,118,589,219.48
  5. Step 5: Solve for x
    x = 24,118,589,219.48/209,762.49
  6. Step 6: Final answer
    x = 114,980.47

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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.