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Finding the Fourth Proportional to 253,564.51, 380,409.95 and 76,074.79

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Solution

The fourth proportional to 253,564.51, 380,409.95 and 76,074.79 is: 114,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,564.51 : 380,409.95 = 76,074.79 : x
  2. Step 2: Convert to fraction form
    253,564.51/380,409.95 = 76,074.79/x
  3. Step 3: Cross multiply
    253,564.51x = 380,409.95 × 76,074.79
  4. Step 4: Simplify right side
    253,564.51x = 28,939,607,060.16
  5. Step 5: Solve for x
    x = 28,939,607,060.16/253,564.51
  6. Step 6: Final answer
    x = 114,131.14

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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.