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Finding the Fourth Proportional to 212,904, 293,809.68 and 128,022.48

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Solution

The fourth proportional to 212,904, 293,809.68 and 128,022.48 is: 176,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,904 : 293,809.68 = 128,022.48 : x
  2. Step 2: Convert to fraction form
    212,904/293,809.68 = 128,022.48/x
  3. Step 3: Cross multiply
    212,904x = 293,809.68 × 128,022.48
  4. Step 4: Simplify right side
    212,904x = 37,614,243,881.61
  5. Step 5: Solve for x
    x = 37,614,243,881.61/212,904
  6. Step 6: Final answer
    x = 176,672.32

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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.