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Finding the Fourth Proportional to 61,407, 84,735.60 and 34,548.90

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Solution

The fourth proportional to 61,407, 84,735.60 and 34,548.90 is: 47,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,407 : 84,735.60 = 34,548.90 : x
  2. Step 2: Convert to fraction form
    61,407/84,735.60 = 34,548.90/x
  3. Step 3: Cross multiply
    61,407x = 84,735.60 × 34,548.90
  4. Step 4: Simplify right side
    61,407x = 2,927,521,770.84
  5. Step 5: Solve for x
    x = 2,927,521,770.84/61,407
  6. Step 6: Final answer
    x = 47,674.07

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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.