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Finding the Fourth Proportional to 218,863, 302,030.94 and 118,261

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Solution

The fourth proportional to 218,863, 302,030.94 and 118,261 is: 163,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,863 : 302,030.94 = 118,261 : x
  2. Step 2: Convert to fraction form
    218,863/302,030.94 = 118,261/x
  3. Step 3: Cross multiply
    218,863x = 302,030.94 × 118,261
  4. Step 4: Simplify right side
    218,863x = 35,718,480,995.34
  5. Step 5: Solve for x
    x = 35,718,480,995.34/218,863
  6. Step 6: Final answer
    x = 163,200.18

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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.