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Finding the Fourth Proportional to 219,572.30, 302,975.32 and 127,711.91

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Solution

The fourth proportional to 219,572.30, 302,975.32 and 127,711.91 is: 176,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,572.30 : 302,975.32 = 127,711.91 : x
  2. Step 2: Convert to fraction form
    219,572.30/302,975.32 = 127,711.91/x
  3. Step 3: Cross multiply
    219,572.30x = 302,975.32 × 127,711.91
  4. Step 4: Simplify right side
    219,572.30x = 38,693,556,800.06
  5. Step 5: Solve for x
    x = 38,693,556,800.06/219,572.30
  6. Step 6: Final answer
    x = 176,222.40

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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.