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Finding the Fourth Proportional to 103,415.88, 155,124.48 and 56,643.24

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Solution

The fourth proportional to 103,415.88, 155,124.48 and 56,643.24 is: 84,965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.88 : 155,124.48 = 56,643.24 : x
  2. Step 2: Convert to fraction form
    103,415.88/155,124.48 = 56,643.24/x
  3. Step 3: Cross multiply
    103,415.88x = 155,124.48 × 56,643.24
  4. Step 4: Simplify right side
    103,415.88x = 8,786,753,150.52
  5. Step 5: Solve for x
    x = 8,786,753,150.52/103,415.88
  6. Step 6: Final answer
    x = 84,965.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.