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Finding the Fourth Proportional to 218,894.64, 302,074.76 and 118,292.64

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Solution

The fourth proportional to 218,894.64, 302,074.76 and 118,292.64 is: 163,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,894.64 : 302,074.76 = 118,292.64 : x
  2. Step 2: Convert to fraction form
    218,894.64/302,074.76 = 118,292.64/x
  3. Step 3: Cross multiply
    218,894.64x = 302,074.76 × 118,292.64
  4. Step 4: Simplify right side
    218,894.64x = 35,733,220,837.77
  5. Step 5: Solve for x
    x = 35,733,220,837.77/218,894.64
  6. Step 6: Final answer
    x = 163,243.93

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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.