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Finding the Fourth Proportional to 76,488.68, 105,556.74 and 42,955.40

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Solution

The fourth proportional to 76,488.68, 105,556.74 and 42,955.40 is: 59,279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,488.68 : 105,556.74 = 42,955.40 : x
  2. Step 2: Convert to fraction form
    76,488.68/105,556.74 = 42,955.40/x
  3. Step 3: Cross multiply
    76,488.68x = 105,556.74 × 42,955.40
  4. Step 4: Simplify right side
    76,488.68x = 4,534,231,989.40
  5. Step 5: Solve for x
    x = 4,534,231,989.40/76,488.68
  6. Step 6: Final answer
    x = 59,279.78

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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.