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Finding the Fourth Proportional to 253,895.76, 380,862.72 and 85,416.48

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Solution

The fourth proportional to 253,895.76, 380,862.72 and 85,416.48 is: 128,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,895.76 : 380,862.72 = 85,416.48 : x
  2. Step 2: Convert to fraction form
    253,895.76/380,862.72 = 85,416.48/x
  3. Step 3: Cross multiply
    253,895.76x = 380,862.72 × 85,416.48
  4. Step 4: Simplify right side
    253,895.76x = 32,531,952,905.63
  5. Step 5: Solve for x
    x = 32,531,952,905.63/253,895.76
  6. Step 6: Final answer
    x = 128,131.14

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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.