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Finding the Fourth Proportional to 157,339.44, 236,082.98 and 78,459.82

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Solution

The fourth proportional to 157,339.44, 236,082.98 and 78,459.82 is: 117,726.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,339.44 : 236,082.98 = 78,459.82 : x
  2. Step 2: Convert to fraction form
    157,339.44/236,082.98 = 78,459.82/x
  3. Step 3: Cross multiply
    157,339.44x = 236,082.98 × 78,459.82
  4. Step 4: Simplify right side
    157,339.44x = 18,523,027,721.81
  5. Step 5: Solve for x
    x = 18,523,027,721.81/157,339.44
  6. Step 6: Final answer
    x = 117,726.54

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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.