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Finding the Fourth Proportional to 128,931.84, 177,880.32 and 84,245.76

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Solution

The fourth proportional to 128,931.84, 177,880.32 and 84,245.76 is: 116,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,931.84 : 177,880.32 = 84,245.76 : x
  2. Step 2: Convert to fraction form
    128,931.84/177,880.32 = 84,245.76/x
  3. Step 3: Cross multiply
    128,931.84x = 177,880.32 × 84,245.76
  4. Step 4: Simplify right side
    128,931.84x = 14,985,662,747.44
  5. Step 5: Solve for x
    x = 14,985,662,747.44/128,931.84
  6. Step 6: Final answer
    x = 116,229.34

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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.