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Finding the Fourth Proportional to 219,549.88, 302,978.77 and 118,947.88

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Solution

The fourth proportional to 219,549.88, 302,978.77 and 118,947.88 is: 164,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,549.88 : 302,978.77 = 118,947.88 : x
  2. Step 2: Convert to fraction form
    219,549.88/302,978.77 = 118,947.88/x
  3. Step 3: Cross multiply
    219,549.88x = 302,978.77 × 118,947.88
  4. Step 4: Simplify right side
    219,549.88x = 36,038,682,376.51
  5. Step 5: Solve for x
    x = 36,038,682,376.51/219,549.88
  6. Step 6: Final answer
    x = 164,148.04

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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.