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Finding the Fourth Proportional to 154,726.12, 232,105.34 and 65,989

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Solution

The fourth proportional to 154,726.12, 232,105.34 and 65,989 is: 98,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,726.12 : 232,105.34 = 65,989 : x
  2. Step 2: Convert to fraction form
    154,726.12/232,105.34 = 65,989/x
  3. Step 3: Cross multiply
    154,726.12x = 232,105.34 × 65,989
  4. Step 4: Simplify right side
    154,726.12x = 15,316,399,281.26
  5. Step 5: Solve for x
    x = 15,316,399,281.26/154,726.12
  6. Step 6: Final answer
    x = 98,990.39

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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.