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Finding the Fourth Proportional to 211,878, 292,417.63 and 122,454

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Solution

The fourth proportional to 211,878, 292,417.63 and 122,454 is: 169,001.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,878 : 292,417.63 = 122,454 : x
  2. Step 2: Convert to fraction form
    211,878/292,417.63 = 122,454/x
  3. Step 3: Cross multiply
    211,878x = 292,417.63 × 122,454
  4. Step 4: Simplify right side
    211,878x = 35,807,708,157.89
  5. Step 5: Solve for x
    x = 35,807,708,157.89/211,878
  6. Step 6: Final answer
    x = 169,001.54

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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.