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Finding the Fourth Proportional to 56,031, 77,327.64 and 30,885.36

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Solution

The fourth proportional to 56,031, 77,327.64 and 30,885.36 is: 42,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,031 : 77,327.64 = 30,885.36 : x
  2. Step 2: Convert to fraction form
    56,031/77,327.64 = 30,885.36/x
  3. Step 3: Cross multiply
    56,031x = 77,327.64 × 30,885.36
  4. Step 4: Simplify right side
    56,031x = 2,388,291,999.35
  5. Step 5: Solve for x
    x = 2,388,291,999.35/56,031
  6. Step 6: Final answer
    x = 42,624.48

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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.