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Finding the Fourth Proportional to 105,395.58, 145,444.01 and 57,648.51

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Solution

The fourth proportional to 105,395.58, 145,444.01 and 57,648.51 is: 79,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,395.58 : 145,444.01 = 57,648.51 : x
  2. Step 2: Convert to fraction form
    105,395.58/145,444.01 = 57,648.51/x
  3. Step 3: Cross multiply
    105,395.58x = 145,444.01 × 57,648.51
  4. Step 4: Simplify right side
    105,395.58x = 8,384,630,176.68
  5. Step 5: Solve for x
    x = 8,384,630,176.68/105,395.58
  6. Step 6: Final answer
    x = 79,553.91

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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.