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Finding the Fourth Proportional to 61,148, 84,417.05 and 47,687.02

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Solution

The fourth proportional to 61,148, 84,417.05 and 47,687.02 is: 65,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,148 : 84,417.05 = 47,687.02 : x
  2. Step 2: Convert to fraction form
    61,148/84,417.05 = 47,687.02/x
  3. Step 3: Cross multiply
    61,148x = 84,417.05 × 47,687.02
  4. Step 4: Simplify right side
    61,148x = 4,025,597,551.69
  5. Step 5: Solve for x
    x = 4,025,597,551.69/61,148
  6. Step 6: Final answer
    x = 65,833.67

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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.