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Finding the Fourth Proportional to 138,706.16, 191,413.14 and 75,042.60

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Solution

The fourth proportional to 138,706.16, 191,413.14 and 75,042.60 is: 103,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.16 : 191,413.14 = 75,042.60 : x
  2. Step 2: Convert to fraction form
    138,706.16/191,413.14 = 75,042.60/x
  3. Step 3: Cross multiply
    138,706.16x = 191,413.14 × 75,042.60
  4. Step 4: Simplify right side
    138,706.16x = 14,364,139,699.76
  5. Step 5: Solve for x
    x = 14,364,139,699.76/138,706.16
  6. Step 6: Final answer
    x = 103,558.05

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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.