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Finding the Fourth Proportional to 88,960, 122,706.48 and 57,078.40

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Solution

The fourth proportional to 88,960, 122,706.48 and 57,078.40 is: 78,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,960 : 122,706.48 = 57,078.40 : x
  2. Step 2: Convert to fraction form
    88,960/122,706.48 = 57,078.40/x
  3. Step 3: Cross multiply
    88,960x = 122,706.48 × 57,078.40
  4. Step 4: Simplify right side
    88,960x = 7,003,889,548.03
  5. Step 5: Solve for x
    x = 7,003,889,548.03/88,960
  6. Step 6: Final answer
    x = 78,730.77

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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.