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Finding the Fourth Proportional to 218,931.84, 302,125.86 and 118,329.84

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Solution

The fourth proportional to 218,931.84, 302,125.86 and 118,329.84 is: 163,295.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,931.84 : 302,125.86 = 118,329.84 : x
  2. Step 2: Convert to fraction form
    218,931.84/302,125.86 = 118,329.84/x
  3. Step 3: Cross multiply
    218,931.84x = 302,125.86 × 118,329.84
  4. Step 4: Simplify right side
    218,931.84x = 35,750,504,673.66
  5. Step 5: Solve for x
    x = 35,750,504,673.66/218,931.84
  6. Step 6: Final answer
    x = 163,295.14

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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.