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Finding the Fourth Proportional to 107,184.78, 147,744.54 and 84,486.96

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Solution

The fourth proportional to 107,184.78, 147,744.54 and 84,486.96 is: 116,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,184.78 : 147,744.54 = 84,486.96 : x
  2. Step 2: Convert to fraction form
    107,184.78/147,744.54 = 84,486.96/x
  3. Step 3: Cross multiply
    107,184.78x = 147,744.54 × 84,486.96
  4. Step 4: Simplify right side
    107,184.78x = 12,482,487,041.20
  5. Step 5: Solve for x
    x = 12,482,487,041.20/107,184.78
  6. Step 6: Final answer
    x = 116,457.64

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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.