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Finding the Fourth Proportional to 77,047.50, 115,631.50 and 39,606.06

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Solution

The fourth proportional to 77,047.50, 115,631.50 and 39,606.06 is: 59,440.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,047.50 : 115,631.50 = 39,606.06 : x
  2. Step 2: Convert to fraction form
    77,047.50/115,631.50 = 39,606.06/x
  3. Step 3: Cross multiply
    77,047.50x = 115,631.50 × 39,606.06
  4. Step 4: Simplify right side
    77,047.50x = 4,579,708,126.89
  5. Step 5: Solve for x
    x = 4,579,708,126.89/77,047.50
  6. Step 6: Final answer
    x = 59,440.06

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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.