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Finding the Fourth Proportional to 216,872.61, 299,284.16 and 121,379.30

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Solution

The fourth proportional to 216,872.61, 299,284.16 and 121,379.30 is: 167,503.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,872.61 : 299,284.16 = 121,379.30 : x
  2. Step 2: Convert to fraction form
    216,872.61/299,284.16 = 121,379.30/x
  3. Step 3: Cross multiply
    216,872.61x = 299,284.16 × 121,379.30
  4. Step 4: Simplify right side
    216,872.61x = 36,326,901,841.89
  5. Step 5: Solve for x
    x = 36,326,901,841.89/216,872.61
  6. Step 6: Final answer
    x = 167,503.41

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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.