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Finding the Fourth Proportional to 219,502.72, 302,913.76 and 118,900.72

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Solution

The fourth proportional to 219,502.72, 302,913.76 and 118,900.72 is: 164,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502.72 : 302,913.76 = 118,900.72 : x
  2. Step 2: Convert to fraction form
    219,502.72/302,913.76 = 118,900.72/x
  3. Step 3: Cross multiply
    219,502.72x = 302,913.76 × 118,900.72
  4. Step 4: Simplify right side
    219,502.72x = 36,016,664,161.91
  5. Step 5: Solve for x
    x = 36,016,664,161.91/219,502.72
  6. Step 6: Final answer
    x = 164,083.00

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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.