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Finding the Fourth Proportional to 205,197.93, 307,905.24 and 145,611.45

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Solution

The fourth proportional to 205,197.93, 307,905.24 and 145,611.45 is: 218,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.93 : 307,905.24 = 145,611.45 : x
  2. Step 2: Convert to fraction form
    205,197.93/307,905.24 = 145,611.45/x
  3. Step 3: Cross multiply
    205,197.93x = 307,905.24 × 145,611.45
  4. Step 4: Simplify right side
    205,197.93x = 44,834,528,459.00
  5. Step 5: Solve for x
    x = 44,834,528,459.00/205,197.93
  6. Step 6: Final answer
    x = 218,494.06

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1.5x scale

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.