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Finding the Fourth Proportional to 101,418.14, 139,954.40 and 56,095

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Solution

The fourth proportional to 101,418.14, 139,954.40 and 56,095 is: 77,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,418.14 : 139,954.40 = 56,095 : x
  2. Step 2: Convert to fraction form
    101,418.14/139,954.40 = 56,095/x
  3. Step 3: Cross multiply
    101,418.14x = 139,954.40 × 56,095
  4. Step 4: Simplify right side
    101,418.14x = 7,850,742,068
  5. Step 5: Solve for x
    x = 7,850,742,068/101,418.14
  6. Step 6: Final answer
    x = 77,409.64

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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.