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Finding the Fourth Proportional to 157,154, 235,415.64 and 78,028.88

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Solution

The fourth proportional to 157,154, 235,415.64 and 78,028.88 is: 116,886.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,154 : 235,415.64 = 78,028.88 : x
  2. Step 2: Convert to fraction form
    157,154/235,415.64 = 78,028.88/x
  3. Step 3: Cross multiply
    157,154x = 235,415.64 × 78,028.88
  4. Step 4: Simplify right side
    157,154x = 18,369,218,723.68
  5. Step 5: Solve for x
    x = 18,369,218,723.68/157,154
  6. Step 6: Final answer
    x = 116,886.74

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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.