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Finding the Fourth Proportional to 76,442.48, 105,479.20 and 42,902

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Solution

The fourth proportional to 76,442.48, 105,479.20 and 42,902 is: 59,198.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.48 : 105,479.20 = 42,902 : x
  2. Step 2: Convert to fraction form
    76,442.48/105,479.20 = 42,902/x
  3. Step 3: Cross multiply
    76,442.48x = 105,479.20 × 42,902
  4. Step 4: Simplify right side
    76,442.48x = 4,525,268,638.40
  5. Step 5: Solve for x
    x = 4,525,268,638.40/76,442.48
  6. Step 6: Final answer
    x = 59,198.35

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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.