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Finding the Fourth Proportional to 127,413.68, 175,836.88 and 70,826

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Solution

The fourth proportional to 127,413.68, 175,836.88 and 70,826 is: 97,743.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,413.68 : 175,836.88 = 70,826 : x
  2. Step 2: Convert to fraction form
    127,413.68/175,836.88 = 70,826/x
  3. Step 3: Cross multiply
    127,413.68x = 175,836.88 × 70,826
  4. Step 4: Simplify right side
    127,413.68x = 12,453,822,862.88
  5. Step 5: Solve for x
    x = 12,453,822,862.88/127,413.68
  6. Step 6: Final answer
    x = 97,743.22

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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.