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Finding the Fourth Proportional to 219,454.78, 302,848.86 and 118,852.78

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Solution

The fourth proportional to 219,454.78, 302,848.86 and 118,852.78 is: 164,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,454.78 : 302,848.86 = 118,852.78 : x
  2. Step 2: Convert to fraction form
    219,454.78/302,848.86 = 118,852.78/x
  3. Step 3: Cross multiply
    219,454.78x = 302,848.86 × 118,852.78
  4. Step 4: Simplify right side
    219,454.78x = 35,994,428,930.83
  5. Step 5: Solve for x
    x = 35,994,428,930.83/219,454.78
  6. Step 6: Final answer
    x = 164,017.52

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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.