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Finding the Fourth Proportional to 103,962.94, 143,468.94 and 56,216.32

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Solution

The fourth proportional to 103,962.94, 143,468.94 and 56,216.32 is: 77,578.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,962.94 : 143,468.94 = 56,216.32 : x
  2. Step 2: Convert to fraction form
    103,962.94/143,468.94 = 56,216.32/x
  3. Step 3: Cross multiply
    103,962.94x = 143,468.94 × 56,216.32
  4. Step 4: Simplify right side
    103,962.94x = 8,065,295,841.10
  5. Step 5: Solve for x
    x = 8,065,295,841.10/103,962.94
  6. Step 6: Final answer
    x = 77,578.57

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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.