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Finding the Fourth Proportional to 155,656.80, 214,767.36 and 87,660

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Solution

The fourth proportional to 155,656.80, 214,767.36 and 87,660 is: 120,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,656.80 : 214,767.36 = 87,660 : x
  2. Step 2: Convert to fraction form
    155,656.80/214,767.36 = 87,660/x
  3. Step 3: Cross multiply
    155,656.80x = 214,767.36 × 87,660
  4. Step 4: Simplify right side
    155,656.80x = 18,826,506,777.60
  5. Step 5: Solve for x
    x = 18,826,506,777.60/155,656.80
  6. Step 6: Final answer
    x = 120,948.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.