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Finding the Fourth Proportional to 120,316.77, 180,414.38 and 70,411.86

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Solution

The fourth proportional to 120,316.77, 180,414.38 and 70,411.86 is: 105,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,316.77 : 180,414.38 = 70,411.86 : x
  2. Step 2: Convert to fraction form
    120,316.77/180,414.38 = 70,411.86/x
  3. Step 3: Cross multiply
    120,316.77x = 180,414.38 × 70,411.86
  4. Step 4: Simplify right side
    120,316.77x = 12,703,312,242.58
  5. Step 5: Solve for x
    x = 12,703,312,242.58/120,316.77
  6. Step 6: Final answer
    x = 105,582.22

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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.