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Finding the Fourth Proportional to 211,050, 291,256.47 and 115,557.48

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Solution

The fourth proportional to 211,050, 291,256.47 and 115,557.48 is: 159,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,050 : 291,256.47 = 115,557.48 : x
  2. Step 2: Convert to fraction form
    211,050/291,256.47 = 115,557.48/x
  3. Step 3: Cross multiply
    211,050x = 291,256.47 × 115,557.48
  4. Step 4: Simplify right side
    211,050x = 33,656,863,706.90
  5. Step 5: Solve for x
    x = 33,656,863,706.90/211,050
  6. Step 6: Final answer
    x = 159,473.41

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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.