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Finding the Fourth Proportional to 103,900.77, 143,382.84 and 56,154

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Solution

The fourth proportional to 103,900.77, 143,382.84 and 56,154 is: 77,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900.77 : 143,382.84 = 56,154 : x
  2. Step 2: Convert to fraction form
    103,900.77/143,382.84 = 56,154/x
  3. Step 3: Cross multiply
    103,900.77x = 143,382.84 × 56,154
  4. Step 4: Simplify right side
    103,900.77x = 8,051,519,997.36
  5. Step 5: Solve for x
    x = 8,051,519,997.36/103,900.77
  6. Step 6: Final answer
    x = 77,492.40

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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.