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Finding the Fourth Proportional to 221,761.50, 306,030.90 and 121,159.50

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Solution

The fourth proportional to 221,761.50, 306,030.90 and 121,159.50 is: 167,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,761.50 : 306,030.90 = 121,159.50 : x
  2. Step 2: Convert to fraction form
    221,761.50/306,030.90 = 121,159.50/x
  3. Step 3: Cross multiply
    221,761.50x = 306,030.90 × 121,159.50
  4. Step 4: Simplify right side
    221,761.50x = 37,078,550,828.55
  5. Step 5: Solve for x
    x = 37,078,550,828.55/221,761.50
  6. Step 6: Final answer
    x = 167,200.13

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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.