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Finding the Fourth Proportional to 129,402, 178,583.08 and 78,449.68

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Solution

The fourth proportional to 129,402, 178,583.08 and 78,449.68 is: 108,265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402 : 178,583.08 = 78,449.68 : x
  2. Step 2: Convert to fraction form
    129,402/178,583.08 = 78,449.68/x
  3. Step 3: Cross multiply
    129,402x = 178,583.08 × 78,449.68
  4. Step 4: Simplify right side
    129,402x = 14,009,785,479.41
  5. Step 5: Solve for x
    x = 14,009,785,479.41/129,402
  6. Step 6: Final answer
    x = 108,265.60

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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.