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Finding the Fourth Proportional to 253,091.66, 349,335.79 and 157,541.63

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Solution

The fourth proportional to 253,091.66, 349,335.79 and 157,541.63 is: 217,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,091.66 : 349,335.79 = 157,541.63 : x
  2. Step 2: Convert to fraction form
    253,091.66/349,335.79 = 157,541.63/x
  3. Step 3: Cross multiply
    253,091.66x = 349,335.79 × 157,541.63
  4. Step 4: Simplify right side
    253,091.66x = 55,034,927,633.40
  5. Step 5: Solve for x
    x = 55,034,927,633.40/253,091.66
  6. Step 6: Final answer
    x = 217,450.58

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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.