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Finding the Fourth Proportional to 212,713, 293,547.60 and 137,392.72

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Solution

The fourth proportional to 212,713, 293,547.60 and 137,392.72 is: 189,604.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,713 : 293,547.60 = 137,392.72 : x
  2. Step 2: Convert to fraction form
    212,713/293,547.60 = 137,392.72/x
  3. Step 3: Cross multiply
    212,713x = 293,547.60 × 137,392.72
  4. Step 4: Simplify right side
    212,713x = 40,331,303,213.47
  5. Step 5: Solve for x
    x = 40,331,303,213.47/212,713
  6. Step 6: Final answer
    x = 189,604.32

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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.