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Finding the Fourth Proportional to 253,253.76, 349,492.44 and 138,530.10

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Solution

The fourth proportional to 253,253.76, 349,492.44 and 138,530.10 is: 191,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,253.76 : 349,492.44 = 138,530.10 : x
  2. Step 2: Convert to fraction form
    253,253.76/349,492.44 = 138,530.10/x
  3. Step 3: Cross multiply
    253,253.76x = 349,492.44 × 138,530.10
  4. Step 4: Simplify right side
    253,253.76x = 48,415,222,662.44
  5. Step 5: Solve for x
    x = 48,415,222,662.44/253,253.76
  6. Step 6: Final answer
    x = 191,172.77

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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.