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Finding the Fourth Proportional to 127,466.76, 175,904.55 and 70,878

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Solution

The fourth proportional to 127,466.76, 175,904.55 and 70,878 is: 97,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,466.76 : 175,904.55 = 70,878 : x
  2. Step 2: Convert to fraction form
    127,466.76/175,904.55 = 70,878/x
  3. Step 3: Cross multiply
    127,466.76x = 175,904.55 × 70,878
  4. Step 4: Simplify right side
    127,466.76x = 12,467,762,694.90
  5. Step 5: Solve for x
    x = 12,467,762,694.90/127,466.76
  6. Step 6: Final answer
    x = 97,811.87

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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.