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Finding the Fourth Proportional to 120,507, 180,823.54 and 87,499.72

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Solution

The fourth proportional to 120,507, 180,823.54 and 87,499.72 is: 131,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,507 : 180,823.54 = 87,499.72 : x
  2. Step 2: Convert to fraction form
    120,507/180,823.54 = 87,499.72/x
  3. Step 3: Cross multiply
    120,507x = 180,823.54 × 87,499.72
  4. Step 4: Simplify right side
    120,507x = 15,822,009,119.41
  5. Step 5: Solve for x
    x = 15,822,009,119.41/120,507
  6. Step 6: Final answer
    x = 131,295.35

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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.