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Finding the Fourth Proportional to 104,146.84, 143,722.64 and 56,400.19

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Solution

The fourth proportional to 104,146.84, 143,722.64 and 56,400.19 is: 77,832.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,146.84 : 143,722.64 = 56,400.19 : x
  2. Step 2: Convert to fraction form
    104,146.84/143,722.64 = 56,400.19/x
  3. Step 3: Cross multiply
    104,146.84x = 143,722.64 × 56,400.19
  4. Step 4: Simplify right side
    104,146.84x = 8,105,984,203.30
  5. Step 5: Solve for x
    x = 8,105,984,203.30/104,146.84
  6. Step 6: Final answer
    x = 77,832.26

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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.