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Finding the Fourth Proportional to 76,851.56, 106,054.96 and 42,860.08

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Solution

The fourth proportional to 76,851.56, 106,054.96 and 42,860.08 is: 59,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,851.56 : 106,054.96 = 42,860.08 : x
  2. Step 2: Convert to fraction form
    76,851.56/106,054.96 = 42,860.08/x
  3. Step 3: Cross multiply
    76,851.56x = 106,054.96 × 42,860.08
  4. Step 4: Simplify right side
    76,851.56x = 4,545,524,070.00
  5. Step 5: Solve for x
    x = 4,545,524,070.00/76,851.56
  6. Step 6: Final answer
    x = 59,146.80

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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.