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Finding the Fourth Proportional to 209,674.23, 314,509.86 and 125,457.86

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Solution

The fourth proportional to 209,674.23, 314,509.86 and 125,457.86 is: 188,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,674.23 : 314,509.86 = 125,457.86 : x
  2. Step 2: Convert to fraction form
    209,674.23/314,509.86 = 125,457.86/x
  3. Step 3: Cross multiply
    209,674.23x = 314,509.86 × 125,457.86
  4. Step 4: Simplify right side
    209,674.23x = 39,457,732,411.95
  5. Step 5: Solve for x
    x = 39,457,732,411.95/209,674.23
  6. Step 6: Final answer
    x = 188,185.89

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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.