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Finding the Fourth Proportional to 140,986.64, 194,565.84 and 77,328.74

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Solution

The fourth proportional to 140,986.64, 194,565.84 and 77,328.74 is: 106,716.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,986.64 : 194,565.84 = 77,328.74 : x
  2. Step 2: Convert to fraction form
    140,986.64/194,565.84 = 77,328.74/x
  3. Step 3: Cross multiply
    140,986.64x = 194,565.84 × 77,328.74
  4. Step 4: Simplify right side
    140,986.64x = 15,045,531,254.24
  5. Step 5: Solve for x
    x = 15,045,531,254.24/140,986.64
  6. Step 6: Final answer
    x = 106,716.01

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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.