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Finding the Fourth Proportional to 101,918.91, 140,643.36 and 56,599.77

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Solution

The fourth proportional to 101,918.91, 140,643.36 and 56,599.77 is: 78,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,918.91 : 140,643.36 = 56,599.77 : x
  2. Step 2: Convert to fraction form
    101,918.91/140,643.36 = 56,599.77/x
  3. Step 3: Cross multiply
    101,918.91x = 140,643.36 × 56,599.77
  4. Step 4: Simplify right side
    101,918.91x = 7,960,381,828.03
  5. Step 5: Solve for x
    x = 7,960,381,828.03/101,918.91
  6. Step 6: Final answer
    x = 78,105.05

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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.