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Finding the Fourth Proportional to 219,295.95, 328,907.87 and 77,107.81

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Solution

The fourth proportional to 219,295.95, 328,907.87 and 77,107.81 is: 115,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,295.95 : 328,907.87 = 77,107.81 : x
  2. Step 2: Convert to fraction form
    219,295.95/328,907.87 = 77,107.81/x
  3. Step 3: Cross multiply
    219,295.95x = 328,907.87 × 77,107.81
  4. Step 4: Simplify right side
    219,295.95x = 25,361,365,547.46
  5. Step 5: Solve for x
    x = 25,361,365,547.46/219,295.95
  6. Step 6: Final answer
    x = 115,649.04

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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.