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Finding the Fourth Proportional to 284,055.85, 426,080.13 and 81,656.75

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Solution

The fourth proportional to 284,055.85, 426,080.13 and 81,656.75 is: 122,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,055.85 : 426,080.13 = 81,656.75 : x
  2. Step 2: Convert to fraction form
    284,055.85/426,080.13 = 81,656.75/x
  3. Step 3: Cross multiply
    284,055.85x = 426,080.13 × 81,656.75
  4. Step 4: Simplify right side
    284,055.85x = 34,792,318,655.38
  5. Step 5: Solve for x
    x = 34,792,318,655.38/284,055.85
  6. Step 6: Final answer
    x = 122,484.08

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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.