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Finding the Fourth Proportional to 155,225, 214,210.77 and 88,157

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Solution

The fourth proportional to 155,225, 214,210.77 and 88,157 is: 121,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,225 : 214,210.77 = 88,157 : x
  2. Step 2: Convert to fraction form
    155,225/214,210.77 = 88,157/x
  3. Step 3: Cross multiply
    155,225x = 214,210.77 × 88,157
  4. Step 4: Simplify right side
    155,225x = 18,884,178,850.89
  5. Step 5: Solve for x
    x = 18,884,178,850.89/155,225
  6. Step 6: Final answer
    x = 121,656.81

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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.