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Finding the Fourth Proportional to 210,942.51, 291,098.93 and 115,448.97

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Solution

The fourth proportional to 210,942.51, 291,098.93 and 115,448.97 is: 159,318.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,942.51 : 291,098.93 = 115,448.97 : x
  2. Step 2: Convert to fraction form
    210,942.51/291,098.93 = 115,448.97/x
  3. Step 3: Cross multiply
    210,942.51x = 291,098.93 × 115,448.97
  4. Step 4: Simplify right side
    210,942.51x = 33,607,071,636.60
  5. Step 5: Solve for x
    x = 33,607,071,636.60/210,942.51
  6. Step 6: Final answer
    x = 159,318.63

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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.