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Finding the Fourth Proportional to 129,421.94, 178,635.54 and 100,734.98

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Solution

The fourth proportional to 129,421.94, 178,635.54 and 100,734.98 is: 139,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,421.94 : 178,635.54 = 100,734.98 : x
  2. Step 2: Convert to fraction form
    129,421.94/178,635.54 = 100,734.98/x
  3. Step 3: Cross multiply
    129,421.94x = 178,635.54 × 100,734.98
  4. Step 4: Simplify right side
    129,421.94x = 17,994,847,549.19
  5. Step 5: Solve for x
    x = 17,994,847,549.19/129,421.94
  6. Step 6: Final answer
    x = 139,040.16

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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.