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Finding the Fourth Proportional to 181,668.36, 272,602.98 and 76,485

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Solution

The fourth proportional to 181,668.36, 272,602.98 and 76,485 is: 114,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,668.36 : 272,602.98 = 76,485 : x
  2. Step 2: Convert to fraction form
    181,668.36/272,602.98 = 76,485/x
  3. Step 3: Cross multiply
    181,668.36x = 272,602.98 × 76,485
  4. Step 4: Simplify right side
    181,668.36x = 20,850,038,925.30
  5. Step 5: Solve for x
    x = 20,850,038,925.30/181,668.36
  6. Step 6: Final answer
    x = 114,769.79

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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.