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Finding the Fourth Proportional to 101,829, 140,525.64 and 57,117

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Solution

The fourth proportional to 101,829, 140,525.64 and 57,117 is: 78,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,829 : 140,525.64 = 57,117 : x
  2. Step 2: Convert to fraction form
    101,829/140,525.64 = 57,117/x
  3. Step 3: Cross multiply
    101,829x = 140,525.64 × 57,117
  4. Step 4: Simplify right side
    101,829x = 8,026,402,979.88
  5. Step 5: Solve for x
    x = 8,026,402,979.88/101,829
  6. Step 6: Final answer
    x = 78,822.37

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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.