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Finding the Fourth Proportional to 76,632.24, 114,948.40 and 21,228.24

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Solution

The fourth proportional to 76,632.24, 114,948.40 and 21,228.24 is: 31,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,632.24 : 114,948.40 = 21,228.24 : x
  2. Step 2: Convert to fraction form
    76,632.24/114,948.40 = 21,228.24/x
  3. Step 3: Cross multiply
    76,632.24x = 114,948.40 × 21,228.24
  4. Step 4: Simplify right side
    76,632.24x = 2,440,152,222.82
  5. Step 5: Solve for x
    x = 2,440,152,222.82/76,632.24
  6. Step 6: Final answer
    x = 31,842.37

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1.5x scale

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.