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Finding the Fourth Proportional to 77,510.94, 116,157.38 and 61,645.56

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Solution

The fourth proportional to 77,510.94, 116,157.38 and 61,645.56 is: 92,381.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,510.94 : 116,157.38 = 61,645.56 : x
  2. Step 2: Convert to fraction form
    77,510.94/116,157.38 = 61,645.56/x
  3. Step 3: Cross multiply
    77,510.94x = 116,157.38 × 61,645.56
  4. Step 4: Simplify right side
    77,510.94x = 7,160,586,430.01
  5. Step 5: Solve for x
    x = 7,160,586,430.01/77,510.94
  6. Step 6: Final answer
    x = 92,381.62

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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.