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Finding the Fourth Proportional to 272,070.77, 407,911.14 and 127,895.83

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Solution

The fourth proportional to 272,070.77, 407,911.14 and 127,895.83 is: 191,752.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,070.77 : 407,911.14 = 127,895.83 : x
  2. Step 2: Convert to fraction form
    272,070.77/407,911.14 = 127,895.83/x
  3. Step 3: Cross multiply
    272,070.77x = 407,911.14 × 127,895.83
  4. Step 4: Simplify right side
    272,070.77x = 52,170,132,796.77
  5. Step 5: Solve for x
    x = 52,170,132,796.77/272,070.77
  6. Step 6: Final answer
    x = 191,752.07

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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.