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Finding the Fourth Proportional to 216,410.68, 298,641.16 and 120,918.16

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Solution

The fourth proportional to 216,410.68, 298,641.16 and 120,918.16 is: 166,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,410.68 : 298,641.16 = 120,918.16 : x
  2. Step 2: Convert to fraction form
    216,410.68/298,641.16 = 120,918.16/x
  3. Step 3: Cross multiply
    216,410.68x = 298,641.16 × 120,918.16
  4. Step 4: Simplify right side
    216,410.68x = 36,111,139,567.47
  5. Step 5: Solve for x
    x = 36,111,139,567.47/216,410.68
  6. Step 6: Final answer
    x = 166,863.94

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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.