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Finding the Fourth Proportional to 121,313.84, 181,970.76 and 47,390

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Solution

The fourth proportional to 121,313.84, 181,970.76 and 47,390 is: 71,085

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,313.84 : 181,970.76 = 47,390 : x
  2. Step 2: Convert to fraction form
    121,313.84/181,970.76 = 47,390/x
  3. Step 3: Cross multiply
    121,313.84x = 181,970.76 × 47,390
  4. Step 4: Simplify right side
    121,313.84x = 8,623,594,316.40
  5. Step 5: Solve for x
    x = 8,623,594,316.40/121,313.84
  6. Step 6: Final answer
    x = 71,085

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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.