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Finding the Fourth Proportional to 222,038.16, 306,415.08 and 121,434

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Solution

The fourth proportional to 222,038.16, 306,415.08 and 121,434 is: 167,580.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,038.16 : 306,415.08 = 121,434 : x
  2. Step 2: Convert to fraction form
    222,038.16/306,415.08 = 121,434/x
  3. Step 3: Cross multiply
    222,038.16x = 306,415.08 × 121,434
  4. Step 4: Simplify right side
    222,038.16x = 37,209,208,824.72
  5. Step 5: Solve for x
    x = 37,209,208,824.72/222,038.16
  6. Step 6: Final answer
    x = 167,580.24

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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.