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Finding the Fourth Proportional to 103,978.44, 143,490.54 and 56,232.12

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Solution

The fourth proportional to 103,978.44, 143,490.54 and 56,232.12 is: 77,600.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.44 : 143,490.54 = 56,232.12 : x
  2. Step 2: Convert to fraction form
    103,978.44/143,490.54 = 56,232.12/x
  3. Step 3: Cross multiply
    103,978.44x = 143,490.54 × 56,232.12
  4. Step 4: Simplify right side
    103,978.44x = 8,068,777,264.14
  5. Step 5: Solve for x
    x = 8,068,777,264.14/103,978.44
  6. Step 6: Final answer
    x = 77,600.48

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1.5x scale

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.