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Finding the Fourth Proportional to 135,413.59, 203,139.29 and 56,509.74

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Solution

The fourth proportional to 135,413.59, 203,139.29 and 56,509.74 is: 84,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,413.59 : 203,139.29 = 56,509.74 : x
  2. Step 2: Convert to fraction form
    135,413.59/203,139.29 = 56,509.74/x
  3. Step 3: Cross multiply
    135,413.59x = 203,139.29 × 56,509.74
  4. Step 4: Simplify right side
    135,413.59x = 11,479,348,461.68
  5. Step 5: Solve for x
    x = 11,479,348,461.68/135,413.59
  6. Step 6: Final answer
    x = 84,772.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.