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Finding the Fourth Proportional to 281,053.86, 387,844.59 and 160,234.07

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Solution

The fourth proportional to 281,053.86, 387,844.59 and 160,234.07 is: 221,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,053.86 : 387,844.59 = 160,234.07 : x
  2. Step 2: Convert to fraction form
    281,053.86/387,844.59 = 160,234.07/x
  3. Step 3: Cross multiply
    281,053.86x = 387,844.59 × 160,234.07
  4. Step 4: Simplify right side
    281,053.86x = 62,145,915,243.96
  5. Step 5: Solve for x
    x = 62,145,915,243.96/281,053.86
  6. Step 6: Final answer
    x = 221,117.46

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1.5x scale

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.