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Finding the Fourth Proportional to 47,203.20, 65,128.64 and 30,416

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Solution

The fourth proportional to 47,203.20, 65,128.64 and 30,416 is: 41,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,203.20 : 65,128.64 = 30,416 : x
  2. Step 2: Convert to fraction form
    47,203.20/65,128.64 = 30,416/x
  3. Step 3: Cross multiply
    47,203.20x = 65,128.64 × 30,416
  4. Step 4: Simplify right side
    47,203.20x = 1,980,952,714.24
  5. Step 5: Solve for x
    x = 1,980,952,714.24/47,203.20
  6. Step 6: Final answer
    x = 41,966.49

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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.