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Finding the Fourth Proportional to 65,714.82, 90,686.36 and 37,420.51

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Solution

The fourth proportional to 65,714.82, 90,686.36 and 37,420.51 is: 51,640.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714.82 : 90,686.36 = 37,420.51 : x
  2. Step 2: Convert to fraction form
    65,714.82/90,686.36 = 37,420.51/x
  3. Step 3: Cross multiply
    65,714.82x = 90,686.36 × 37,420.51
  4. Step 4: Simplify right side
    65,714.82x = 3,393,529,841.24
  5. Step 5: Solve for x
    x = 3,393,529,841.24/65,714.82
  6. Step 6: Final answer
    x = 51,640.25

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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.