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Finding the Fourth Proportional to 101,931.64, 140,670.34 and 56,609.82

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Solution

The fourth proportional to 101,931.64, 140,670.34 and 56,609.82 is: 78,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,931.64 : 140,670.34 = 56,609.82 : x
  2. Step 2: Convert to fraction form
    101,931.64/140,670.34 = 56,609.82/x
  3. Step 3: Cross multiply
    101,931.64x = 140,670.34 × 56,609.82
  4. Step 4: Simplify right side
    101,931.64x = 7,963,322,485.21
  5. Step 5: Solve for x
    x = 7,963,322,485.21/101,931.64
  6. Step 6: Final answer
    x = 78,124.15

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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.