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Finding the Fourth Proportional to 76,873.80, 106,043.20 and 45,036.55

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Solution

The fourth proportional to 76,873.80, 106,043.20 and 45,036.55 is: 62,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,873.80 : 106,043.20 = 45,036.55 : x
  2. Step 2: Convert to fraction form
    76,873.80/106,043.20 = 45,036.55/x
  3. Step 3: Cross multiply
    76,873.80x = 106,043.20 × 45,036.55
  4. Step 4: Simplify right side
    76,873.80x = 4,775,819,501.26
  5. Step 5: Solve for x
    x = 4,775,819,501.26/76,873.80
  6. Step 6: Final answer
    x = 62,125.45

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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.