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Finding the Fourth Proportional to 135,838.70, 187,459.48 and 75,413.24

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Solution

The fourth proportional to 135,838.70, 187,459.48 and 75,413.24 is: 104,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,838.70 : 187,459.48 = 75,413.24 : x
  2. Step 2: Convert to fraction form
    135,838.70/187,459.48 = 75,413.24/x
  3. Step 3: Cross multiply
    135,838.70x = 187,459.48 × 75,413.24
  4. Step 4: Simplify right side
    135,838.70x = 14,136,926,755.52
  5. Step 5: Solve for x
    x = 14,136,926,755.52/135,838.70
  6. Step 6: Final answer
    x = 104,071.42

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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.