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Finding the Fourth Proportional to 219,688.38, 329,582.04 and 77,543.76

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Solution

The fourth proportional to 219,688.38, 329,582.04 and 77,543.76 is: 116,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,688.38 : 329,582.04 = 77,543.76 : x
  2. Step 2: Convert to fraction form
    219,688.38/329,582.04 = 77,543.76/x
  3. Step 3: Cross multiply
    219,688.38x = 329,582.04 × 77,543.76
  4. Step 4: Simplify right side
    219,688.38x = 25,557,030,610.07
  5. Step 5: Solve for x
    x = 25,557,030,610.07/219,688.38
  6. Step 6: Final answer
    x = 116,333.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.