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Finding the Fourth Proportional to 101,406.58, 139,941.40 and 56,694.58

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Solution

The fourth proportional to 101,406.58, 139,941.40 and 56,694.58 is: 78,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,406.58 : 139,941.40 = 56,694.58 : x
  2. Step 2: Convert to fraction form
    101,406.58/139,941.40 = 56,694.58/x
  3. Step 3: Cross multiply
    101,406.58x = 139,941.40 × 56,694.58
  4. Step 4: Simplify right side
    101,406.58x = 7,933,918,897.61
  5. Step 5: Solve for x
    x = 7,933,918,897.61/101,406.58
  6. Step 6: Final answer
    x = 78,238.70

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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.