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Finding the Fourth Proportional to 92,406, 138,588.10 and 42,438.06

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Solution

The fourth proportional to 92,406, 138,588.10 and 42,438.06 is: 63,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406 : 138,588.10 = 42,438.06 : x
  2. Step 2: Convert to fraction form
    92,406/138,588.10 = 42,438.06/x
  3. Step 3: Cross multiply
    92,406x = 138,588.10 × 42,438.06
  4. Step 4: Simplify right side
    92,406x = 5,881,409,890.90
  5. Step 5: Solve for x
    x = 5,881,409,890.90/92,406
  6. Step 6: Final answer
    x = 63,647.49

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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.