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Finding the Fourth Proportional to 76,763.03, 105,929.51 and 42,775.22

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Solution

The fourth proportional to 76,763.03, 105,929.51 and 42,775.22 is: 59,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,763.03 : 105,929.51 = 42,775.22 : x
  2. Step 2: Convert to fraction form
    76,763.03/105,929.51 = 42,775.22/x
  3. Step 3: Cross multiply
    76,763.03x = 105,929.51 × 42,775.22
  4. Step 4: Simplify right side
    76,763.03x = 4,531,158,145.69
  5. Step 5: Solve for x
    x = 4,531,158,145.69/76,763.03
  6. Step 6: Final answer
    x = 59,027.87

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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.