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Finding the Fourth Proportional to 253,678.32, 350,078.65 and 153,056.88

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Solution

The fourth proportional to 253,678.32, 350,078.65 and 153,056.88 is: 211,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,678.32 : 350,078.65 = 153,056.88 : x
  2. Step 2: Convert to fraction form
    253,678.32/350,078.65 = 153,056.88/x
  3. Step 3: Cross multiply
    253,678.32x = 350,078.65 × 153,056.88
  4. Step 4: Simplify right side
    253,678.32x = 53,581,943,790.58
  5. Step 5: Solve for x
    x = 53,581,943,790.58/253,678.32
  6. Step 6: Final answer
    x = 211,220.04

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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.