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Finding the Fourth Proportional to 157,066.56, 235,719.72 and 78,247.08

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Solution

The fourth proportional to 157,066.56, 235,719.72 and 78,247.08 is: 117,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,066.56 : 235,719.72 = 78,247.08 : x
  2. Step 2: Convert to fraction form
    157,066.56/235,719.72 = 78,247.08/x
  3. Step 3: Cross multiply
    157,066.56x = 235,719.72 × 78,247.08
  4. Step 4: Simplify right side
    157,066.56x = 18,444,379,788.42
  5. Step 5: Solve for x
    x = 18,444,379,788.42/157,066.56
  6. Step 6: Final answer
    x = 117,430.34

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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.