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Finding the Fourth Proportional to 205,807.15, 283,924.91 and 145,429.55

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Solution

The fourth proportional to 205,807.15, 283,924.91 and 145,429.55 is: 200,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.15 : 283,924.91 = 145,429.55 : x
  2. Step 2: Convert to fraction form
    205,807.15/283,924.91 = 145,429.55/x
  3. Step 3: Cross multiply
    205,807.15x = 283,924.91 × 145,429.55
  4. Step 4: Simplify right side
    205,807.15x = 41,291,071,903.76
  5. Step 5: Solve for x
    x = 41,291,071,903.76/205,807.15
  6. Step 6: Final answer
    x = 200,629.92

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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.