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Finding the Fourth Proportional to 103,149.23, 142,356.02 and 57,827.30

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Solution

The fourth proportional to 103,149.23, 142,356.02 and 57,827.30 is: 79,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,149.23 : 142,356.02 = 57,827.30 : x
  2. Step 2: Convert to fraction form
    103,149.23/142,356.02 = 57,827.30/x
  3. Step 3: Cross multiply
    103,149.23x = 142,356.02 × 57,827.30
  4. Step 4: Simplify right side
    103,149.23x = 8,232,063,274.43
  5. Step 5: Solve for x
    x = 8,232,063,274.43/103,149.23
  6. Step 6: Final answer
    x = 79,807.32

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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.