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Finding the Fourth Proportional to 77,238.96, 106,572.52 and 47,040.08

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Solution

The fourth proportional to 77,238.96, 106,572.52 and 47,040.08 is: 64,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238.96 : 106,572.52 = 47,040.08 : x
  2. Step 2: Convert to fraction form
    77,238.96/106,572.52 = 47,040.08/x
  3. Step 3: Cross multiply
    77,238.96x = 106,572.52 × 47,040.08
  4. Step 4: Simplify right side
    77,238.96x = 5,013,179,866.60
  5. Step 5: Solve for x
    x = 5,013,179,866.60/77,238.96
  6. Step 6: Final answer
    x = 64,904.81

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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.