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Finding the Fourth Proportional to 101,427.64, 139,968.94 and 56,102.06

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Solution

The fourth proportional to 101,427.64, 139,968.94 and 56,102.06 is: 77,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,427.64 : 139,968.94 = 56,102.06 : x
  2. Step 2: Convert to fraction form
    101,427.64/139,968.94 = 56,102.06/x
  3. Step 3: Cross multiply
    101,427.64x = 139,968.94 × 56,102.06
  4. Step 4: Simplify right side
    101,427.64x = 7,852,545,870.02
  5. Step 5: Solve for x
    x = 7,852,545,870.02/101,427.64
  6. Step 6: Final answer
    x = 77,420.18

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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.