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Finding the Fourth Proportional to 157,200.72, 235,720.98 and 77,244

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Solution

The fourth proportional to 157,200.72, 235,720.98 and 77,244 is: 115,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,200.72 : 235,720.98 = 77,244 : x
  2. Step 2: Convert to fraction form
    157,200.72/235,720.98 = 77,244/x
  3. Step 3: Cross multiply
    157,200.72x = 235,720.98 × 77,244
  4. Step 4: Simplify right side
    157,200.72x = 18,208,031,379.12
  5. Step 5: Solve for x
    x = 18,208,031,379.12/157,200.72
  6. Step 6: Final answer
    x = 115,826.64

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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.