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Finding the Fourth Proportional to 56,753.44, 78,319 and 31,259.32

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Solution

The fourth proportional to 56,753.44, 78,319 and 31,259.32 is: 43,137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,753.44 : 78,319 = 31,259.32 : x
  2. Step 2: Convert to fraction form
    56,753.44/78,319 = 31,259.32/x
  3. Step 3: Cross multiply
    56,753.44x = 78,319 × 31,259.32
  4. Step 4: Simplify right side
    56,753.44x = 2,448,198,683.08
  5. Step 5: Solve for x
    x = 2,448,198,683.08/56,753.44
  6. Step 6: Final answer
    x = 43,137.45

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1.5x scale

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.