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Finding the Fourth Proportional to 215,226, 297,010.47 and 118,435.74

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Solution

The fourth proportional to 215,226, 297,010.47 and 118,435.74 is: 163,440.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,226 : 297,010.47 = 118,435.74 : x
  2. Step 2: Convert to fraction form
    215,226/297,010.47 = 118,435.74/x
  3. Step 3: Cross multiply
    215,226x = 297,010.47 × 118,435.74
  4. Step 4: Simplify right side
    215,226x = 35,176,654,802.20
  5. Step 5: Solve for x
    x = 35,176,654,802.20/215,226
  6. Step 6: Final answer
    x = 163,440.55

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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.