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Finding the Fourth Proportional to 105,578.64, 145,698.54 and 57,833.70

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Solution

The fourth proportional to 105,578.64, 145,698.54 and 57,833.70 is: 79,810.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,578.64 : 145,698.54 = 57,833.70 : x
  2. Step 2: Convert to fraction form
    105,578.64/145,698.54 = 57,833.70/x
  3. Step 3: Cross multiply
    105,578.64x = 145,698.54 × 57,833.70
  4. Step 4: Simplify right side
    105,578.64x = 8,426,285,652.80
  5. Step 5: Solve for x
    x = 8,426,285,652.80/105,578.64
  6. Step 6: Final answer
    x = 79,810.52

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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.