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Finding the Fourth Proportional to 154,602.48, 231,948 and 75,739.80

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Solution

The fourth proportional to 154,602.48, 231,948 and 75,739.80 is: 113,631.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,602.48 : 231,948 = 75,739.80 : x
  2. Step 2: Convert to fraction form
    154,602.48/231,948 = 75,739.80/x
  3. Step 3: Cross multiply
    154,602.48x = 231,948 × 75,739.80
  4. Step 4: Simplify right side
    154,602.48x = 17,567,695,130.40
  5. Step 5: Solve for x
    x = 17,567,695,130.40/154,602.48
  6. Step 6: Final answer
    x = 113,631.39

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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.