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Finding the Fourth Proportional to 210,903.30, 291,048.26 and 115,410.78

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Solution

The fourth proportional to 210,903.30, 291,048.26 and 115,410.78 is: 159,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,903.30 : 291,048.26 = 115,410.78 : x
  2. Step 2: Convert to fraction form
    210,903.30/291,048.26 = 115,410.78/x
  3. Step 3: Cross multiply
    210,903.30x = 291,048.26 × 115,410.78
  4. Step 4: Simplify right side
    210,903.30x = 33,590,106,127.19
  5. Step 5: Solve for x
    x = 33,590,106,127.19/210,903.30
  6. Step 6: Final answer
    x = 159,267.81

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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.