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Finding the Fourth Proportional to 169,985.60, 254,978.40 and 81,412.10

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Solution

The fourth proportional to 169,985.60, 254,978.40 and 81,412.10 is: 122,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,985.60 : 254,978.40 = 81,412.10 : x
  2. Step 2: Convert to fraction form
    169,985.60/254,978.40 = 81,412.10/x
  3. Step 3: Cross multiply
    169,985.60x = 254,978.40 × 81,412.10
  4. Step 4: Simplify right side
    169,985.60x = 20,758,326,998.64
  5. Step 5: Solve for x
    x = 20,758,326,998.64/169,985.60
  6. Step 6: Final answer
    x = 122,118.15

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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.