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Finding the Fourth Proportional to 147,501.39, 203,492.47 and 85,371

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Solution

The fourth proportional to 147,501.39, 203,492.47 and 85,371 is: 117,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,501.39 : 203,492.47 = 85,371 : x
  2. Step 2: Convert to fraction form
    147,501.39/203,492.47 = 85,371/x
  3. Step 3: Cross multiply
    147,501.39x = 203,492.47 × 85,371
  4. Step 4: Simplify right side
    147,501.39x = 17,372,355,656.37
  5. Step 5: Solve for x
    x = 17,372,355,656.37/147,501.39
  6. Step 6: Final answer
    x = 117,777.57

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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.