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Finding the Fourth Proportional to 157,199.72, 235,719.48 and 77,243

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Solution

The fourth proportional to 157,199.72, 235,719.48 and 77,243 is: 115,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,199.72 : 235,719.48 = 77,243 : x
  2. Step 2: Convert to fraction form
    157,199.72/235,719.48 = 77,243/x
  3. Step 3: Cross multiply
    157,199.72x = 235,719.48 × 77,243
  4. Step 4: Simplify right side
    157,199.72x = 18,207,679,793.64
  5. Step 5: Solve for x
    x = 18,207,679,793.64/157,199.72
  6. Step 6: Final answer
    x = 115,825.14

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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.