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Finding the Fourth Proportional to 281,036.86, 387,840.13 and 153,712.44

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Solution

The fourth proportional to 281,036.86, 387,840.13 and 153,712.44 is: 212,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,036.86 : 387,840.13 = 153,712.44 : x
  2. Step 2: Convert to fraction form
    281,036.86/387,840.13 = 153,712.44/x
  3. Step 3: Cross multiply
    281,036.86x = 387,840.13 × 153,712.44
  4. Step 4: Simplify right side
    281,036.86x = 59,615,852,327.94
  5. Step 5: Solve for x
    x = 59,615,852,327.94/281,036.86
  6. Step 6: Final answer
    x = 212,128.23

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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.