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Finding the Fourth Proportional to 155,765, 214,955.70 and 88,709.96

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Solution

The fourth proportional to 155,765, 214,955.70 and 88,709.96 is: 122,419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,765 : 214,955.70 = 88,709.96 : x
  2. Step 2: Convert to fraction form
    155,765/214,955.70 = 88,709.96/x
  3. Step 3: Cross multiply
    155,765x = 214,955.70 × 88,709.96
  4. Step 4: Simplify right side
    155,765x = 19,068,711,548.77
  5. Step 5: Solve for x
    x = 19,068,711,548.77/155,765
  6. Step 6: Final answer
    x = 122,419.74

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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.