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Finding the Fourth Proportional to 157,088, 235,678.40 and 90,575.84

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Solution

The fourth proportional to 157,088, 235,678.40 and 90,575.84 is: 135,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088 : 235,678.40 = 90,575.84 : x
  2. Step 2: Convert to fraction form
    157,088/235,678.40 = 90,575.84/x
  3. Step 3: Cross multiply
    157,088x = 235,678.40 × 90,575.84
  4. Step 4: Simplify right side
    157,088x = 21,346,769,049.86
  5. Step 5: Solve for x
    x = 21,346,769,049.86/157,088
  6. Step 6: Final answer
    x = 135,890.51

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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.