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Finding the Fourth Proportional to 157,368.72, 236,122.86 and 82,471.06

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Solution

The fourth proportional to 157,368.72, 236,122.86 and 82,471.06 is: 123,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,368.72 : 236,122.86 = 82,471.06 : x
  2. Step 2: Convert to fraction form
    157,368.72/236,122.86 = 82,471.06/x
  3. Step 3: Cross multiply
    157,368.72x = 236,122.86 × 82,471.06
  4. Step 4: Simplify right side
    157,368.72x = 19,473,302,554.43
  5. Step 5: Solve for x
    x = 19,473,302,554.43/157,368.72
  6. Step 6: Final answer
    x = 123,743.16

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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.