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Finding the Fourth Proportional to 215,314, 297,133.32 and 121,106

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Solution

The fourth proportional to 215,314, 297,133.32 and 121,106 is: 167,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,314 : 297,133.32 = 121,106 : x
  2. Step 2: Convert to fraction form
    215,314/297,133.32 = 121,106/x
  3. Step 3: Cross multiply
    215,314x = 297,133.32 × 121,106
  4. Step 4: Simplify right side
    215,314x = 35,984,627,851.92
  5. Step 5: Solve for x
    x = 35,984,627,851.92/215,314
  6. Step 6: Final answer
    x = 167,126.28

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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.