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Finding the Fourth Proportional to 56,635.50, 78,157.08 and 31,485

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Solution

The fourth proportional to 56,635.50, 78,157.08 and 31,485 is: 43,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,635.50 : 78,157.08 = 31,485 : x
  2. Step 2: Convert to fraction form
    56,635.50/78,157.08 = 31,485/x
  3. Step 3: Cross multiply
    56,635.50x = 78,157.08 × 31,485
  4. Step 4: Simplify right side
    56,635.50x = 2,460,775,663.80
  5. Step 5: Solve for x
    x = 2,460,775,663.80/56,635.50
  6. Step 6: Final answer
    x = 43,449.35

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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.