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Finding the Fourth Proportional to 216,029.34, 298,037.34 and 135,316.35

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Solution

The fourth proportional to 216,029.34, 298,037.34 and 135,316.35 is: 186,684.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,029.34 : 298,037.34 = 135,316.35 : x
  2. Step 2: Convert to fraction form
    216,029.34/298,037.34 = 135,316.35/x
  3. Step 3: Cross multiply
    216,029.34x = 298,037.34 × 135,316.35
  4. Step 4: Simplify right side
    216,029.34x = 40,329,325,012.51
  5. Step 5: Solve for x
    x = 40,329,325,012.51/216,029.34
  6. Step 6: Final answer
    x = 186,684.48

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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.