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Finding the Fourth Proportional to 50,752, 70,037.76 and 28,400.32

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Solution

The fourth proportional to 50,752, 70,037.76 and 28,400.32 is: 39,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,752 : 70,037.76 = 28,400.32 : x
  2. Step 2: Convert to fraction form
    50,752/70,037.76 = 28,400.32/x
  3. Step 3: Cross multiply
    50,752x = 70,037.76 × 28,400.32
  4. Step 4: Simplify right side
    50,752x = 1,989,094,796.08
  5. Step 5: Solve for x
    x = 1,989,094,796.08/50,752
  6. Step 6: Final answer
    x = 39,192.44

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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.