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Finding the Fourth Proportional to 76,290, 105,286.68 and 42,762.48

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Solution

The fourth proportional to 76,290, 105,286.68 and 42,762.48 is: 59,015.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,290 : 105,286.68 = 42,762.48 : x
  2. Step 2: Convert to fraction form
    76,290/105,286.68 = 42,762.48/x
  3. Step 3: Cross multiply
    76,290x = 105,286.68 × 42,762.48
  4. Step 4: Simplify right side
    76,290x = 4,502,319,547.77
  5. Step 5: Solve for x
    x = 4,502,319,547.77/76,290
  6. Step 6: Final answer
    x = 59,015.85

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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.