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Finding the Fourth Proportional to 51,703.32, 77,401.89 and 31,918.26

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Solution

The fourth proportional to 51,703.32, 77,401.89 and 31,918.26 is: 47,782.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,703.32 : 77,401.89 = 31,918.26 : x
  2. Step 2: Convert to fraction form
    51,703.32/77,401.89 = 31,918.26/x
  3. Step 3: Cross multiply
    51,703.32x = 77,401.89 × 31,918.26
  4. Step 4: Simplify right side
    51,703.32x = 2,470,533,649.51
  5. Step 5: Solve for x
    x = 2,470,533,649.51/51,703.32
  6. Step 6: Final answer
    x = 47,782.88

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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.