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Finding the Fourth Proportional to 76,011.68, 104,892 and 42,018.14

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Solution

The fourth proportional to 76,011.68, 104,892 and 42,018.14 is: 57,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,011.68 : 104,892 = 42,018.14 : x
  2. Step 2: Convert to fraction form
    76,011.68/104,892 = 42,018.14/x
  3. Step 3: Cross multiply
    76,011.68x = 104,892 × 42,018.14
  4. Step 4: Simplify right side
    76,011.68x = 4,407,366,216.42
  5. Step 5: Solve for x
    x = 4,407,366,216.42/76,011.68
  6. Step 6: Final answer
    x = 57,982.75

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1.5x scale

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.