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Finding the Fourth Proportional to 120,447.76, 180,733.32 and 57,339.28

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Solution

The fourth proportional to 120,447.76, 180,733.32 and 57,339.28 is: 86,038.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,447.76 : 180,733.32 = 57,339.28 : x
  2. Step 2: Convert to fraction form
    120,447.76/180,733.32 = 57,339.28/x
  3. Step 3: Cross multiply
    120,447.76x = 180,733.32 × 57,339.28
  4. Step 4: Simplify right side
    120,447.76x = 10,363,118,440.81
  5. Step 5: Solve for x
    x = 10,363,118,440.81/120,447.76
  6. Step 6: Final answer
    x = 86,038.28

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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.