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Finding the Fourth Proportional to 101,710.14, 140,359.95 and 56,388

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Solution

The fourth proportional to 101,710.14, 140,359.95 and 56,388 is: 77,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,710.14 : 140,359.95 = 56,388 : x
  2. Step 2: Convert to fraction form
    101,710.14/140,359.95 = 56,388/x
  3. Step 3: Cross multiply
    101,710.14x = 140,359.95 × 56,388
  4. Step 4: Simplify right side
    101,710.14x = 7,914,616,860.60
  5. Step 5: Solve for x
    x = 7,914,616,860.60/101,710.14
  6. Step 6: Final answer
    x = 77,815.42

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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.