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Finding the Fourth Proportional to 145,785.96, 218,727.54 and 52,299

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Solution

The fourth proportional to 145,785.96, 218,727.54 and 52,299 is: 78,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,785.96 : 218,727.54 = 52,299 : x
  2. Step 2: Convert to fraction form
    145,785.96/218,727.54 = 52,299/x
  3. Step 3: Cross multiply
    145,785.96x = 218,727.54 × 52,299
  4. Step 4: Simplify right side
    145,785.96x = 11,439,231,614.46
  5. Step 5: Solve for x
    x = 11,439,231,614.46/145,785.96
  6. Step 6: Final answer
    x = 78,465.93

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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.