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Finding the Fourth Proportional to 51,038.76, 76,365.74 and 45,859.08

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Solution

The fourth proportional to 51,038.76, 76,365.74 and 45,859.08 is: 68,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,038.76 : 76,365.74 = 45,859.08 : x
  2. Step 2: Convert to fraction form
    51,038.76/76,365.74 = 45,859.08/x
  3. Step 3: Cross multiply
    51,038.76x = 76,365.74 × 45,859.08
  4. Step 4: Simplify right side
    51,038.76x = 3,502,062,579.92
  5. Step 5: Solve for x
    x = 3,502,062,579.92/51,038.76
  6. Step 6: Final answer
    x = 68,615.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.