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Finding the Fourth Proportional to 120,415.92, 180,740.52 and 58,130.16

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Solution

The fourth proportional to 120,415.92, 180,740.52 and 58,130.16 is: 87,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,415.92 : 180,740.52 = 58,130.16 : x
  2. Step 2: Convert to fraction form
    120,415.92/180,740.52 = 58,130.16/x
  3. Step 3: Cross multiply
    120,415.92x = 180,740.52 × 58,130.16
  4. Step 4: Simplify right side
    120,415.92x = 10,506,475,346.08
  5. Step 5: Solve for x
    x = 10,506,475,346.08/120,415.92
  6. Step 6: Final answer
    x = 87,251.55

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1.5x scale

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.