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Finding the Fourth Proportional to 140,548.77, 210,723.93 and 51,790.59

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Solution

The fourth proportional to 140,548.77, 210,723.93 and 51,790.59 is: 77,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,548.77 : 210,723.93 = 51,790.59 : x
  2. Step 2: Convert to fraction form
    140,548.77/210,723.93 = 51,790.59/x
  3. Step 3: Cross multiply
    140,548.77x = 210,723.93 × 51,790.59
  4. Step 4: Simplify right side
    140,548.77x = 10,913,516,661.82
  5. Step 5: Solve for x
    x = 10,913,516,661.82/140,548.77
  6. Step 6: Final answer
    x = 77,649.32

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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.