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Finding the Fourth Proportional to 145,571.84, 218,349.12 and 85,634

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Solution

The fourth proportional to 145,571.84, 218,349.12 and 85,634 is: 128,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571.84 : 218,349.12 = 85,634 : x
  2. Step 2: Convert to fraction form
    145,571.84/218,349.12 = 85,634/x
  3. Step 3: Cross multiply
    145,571.84x = 218,349.12 × 85,634
  4. Step 4: Simplify right side
    145,571.84x = 18,698,108,542.08
  5. Step 5: Solve for x
    x = 18,698,108,542.08/145,571.84
  6. Step 6: Final answer
    x = 128,445.92

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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.