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Finding the Fourth Proportional to 105,709, 145,865.04 and 57,949.80

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Solution

The fourth proportional to 105,709, 145,865.04 and 57,949.80 is: 79,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709 : 145,865.04 = 57,949.80 : x
  2. Step 2: Convert to fraction form
    105,709/145,865.04 = 57,949.80/x
  3. Step 3: Cross multiply
    105,709x = 145,865.04 × 57,949.80
  4. Step 4: Simplify right side
    105,709x = 8,452,849,894.99
  5. Step 5: Solve for x
    x = 8,452,849,894.99/105,709
  6. Step 6: Final answer
    x = 79,963.39

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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.