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Finding the Fourth Proportional to 121,312.84, 181,969.26 and 47,389

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Solution

The fourth proportional to 121,312.84, 181,969.26 and 47,389 is: 71,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,312.84 : 181,969.26 = 47,389 : x
  2. Step 2: Convert to fraction form
    121,312.84/181,969.26 = 47,389/x
  3. Step 3: Cross multiply
    121,312.84x = 181,969.26 × 47,389
  4. Step 4: Simplify right side
    121,312.84x = 8,623,341,262.14
  5. Step 5: Solve for x
    x = 8,623,341,262.14/121,312.84
  6. Step 6: Final answer
    x = 71,083.50

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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.