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Finding the Fourth Proportional to 107,871.60, 162,001.80 and 78,322.80

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Solution

The fourth proportional to 107,871.60, 162,001.80 and 78,322.80 is: 117,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,871.60 : 162,001.80 = 78,322.80 : x
  2. Step 2: Convert to fraction form
    107,871.60/162,001.80 = 78,322.80/x
  3. Step 3: Cross multiply
    107,871.60x = 162,001.80 × 78,322.80
  4. Step 4: Simplify right side
    107,871.60x = 12,688,434,581.04
  5. Step 5: Solve for x
    x = 12,688,434,581.04/107,871.60
  6. Step 6: Final answer
    x = 117,625.35

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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.