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Finding the Fourth Proportional to 251,681.61, 347,242.43 and 142,768

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Solution

The fourth proportional to 251,681.61, 347,242.43 and 142,768 is: 196,975.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,681.61 : 347,242.43 = 142,768 : x
  2. Step 2: Convert to fraction form
    251,681.61/347,242.43 = 142,768/x
  3. Step 3: Cross multiply
    251,681.61x = 347,242.43 × 142,768
  4. Step 4: Simplify right side
    251,681.61x = 49,575,107,246.24
  5. Step 5: Solve for x
    x = 49,575,107,246.24/251,681.61
  6. Step 6: Final answer
    x = 196,975.49

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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.