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Finding the Fourth Proportional to 101,378.07, 139,899.24 and 56,054.90

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Solution

The fourth proportional to 101,378.07, 139,899.24 and 56,054.90 is: 77,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,378.07 : 139,899.24 = 56,054.90 : x
  2. Step 2: Convert to fraction form
    101,378.07/139,899.24 = 56,054.90/x
  3. Step 3: Cross multiply
    101,378.07x = 139,899.24 × 56,054.90
  4. Step 4: Simplify right side
    101,378.07x = 7,842,038,258.02
  5. Step 5: Solve for x
    x = 7,842,038,258.02/101,378.07
  6. Step 6: Final answer
    x = 77,354.39

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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.