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Finding the Fourth Proportional to 127,095, 175,391.10 and 70,506.78

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Solution

The fourth proportional to 127,095, 175,391.10 and 70,506.78 is: 97,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,095 : 175,391.10 = 70,506.78 : x
  2. Step 2: Convert to fraction form
    127,095/175,391.10 = 70,506.78/x
  3. Step 3: Cross multiply
    127,095x = 175,391.10 × 70,506.78
  4. Step 4: Simplify right side
    127,095x = 12,366,261,701.66
  5. Step 5: Solve for x
    x = 12,366,261,701.66/127,095
  6. Step 6: Final answer
    x = 97,299.36

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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.