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Finding the Fourth Proportional to 253,619.76, 380,492.82 and 76,130.04

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Solution

The fourth proportional to 253,619.76, 380,492.82 and 76,130.04 is: 114,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,619.76 : 380,492.82 = 76,130.04 : x
  2. Step 2: Convert to fraction form
    253,619.76/380,492.82 = 76,130.04/x
  3. Step 3: Cross multiply
    253,619.76x = 380,492.82 × 76,130.04
  4. Step 4: Simplify right side
    253,619.76x = 28,966,933,606.31
  5. Step 5: Solve for x
    x = 28,966,933,606.31/253,619.76
  6. Step 6: Final answer
    x = 114,214.02

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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.