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Finding the Fourth Proportional to 56,178.81, 77,526.81 and 31,028.31

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Solution

The fourth proportional to 56,178.81, 77,526.81 and 31,028.31 is: 42,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,178.81 : 77,526.81 = 31,028.31 : x
  2. Step 2: Convert to fraction form
    56,178.81/77,526.81 = 31,028.31/x
  3. Step 3: Cross multiply
    56,178.81x = 77,526.81 × 31,028.31
  4. Step 4: Simplify right side
    56,178.81x = 2,405,525,893.99
  5. Step 5: Solve for x
    x = 2,405,525,893.99/56,178.81
  6. Step 6: Final answer
    x = 42,819.10

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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.