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Finding the Fourth Proportional to 216,878.15, 299,283.76 and 120,080.08

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Solution

The fourth proportional to 216,878.15, 299,283.76 and 120,080.08 is: 165,706.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,878.15 : 299,283.76 = 120,080.08 : x
  2. Step 2: Convert to fraction form
    216,878.15/299,283.76 = 120,080.08/x
  3. Step 3: Cross multiply
    216,878.15x = 299,283.76 × 120,080.08
  4. Step 4: Simplify right side
    216,878.15x = 35,938,017,843.50
  5. Step 5: Solve for x
    x = 35,938,017,843.50/216,878.15
  6. Step 6: Final answer
    x = 165,706.03

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1.5x scale

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.