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Finding the Fourth Proportional to 156,665.61, 235,079.42 and 77,778.09

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Solution

The fourth proportional to 156,665.61, 235,079.42 and 77,778.09 is: 116,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,665.61 : 235,079.42 = 77,778.09 : x
  2. Step 2: Convert to fraction form
    156,665.61/235,079.42 = 77,778.09/x
  3. Step 3: Cross multiply
    156,665.61x = 235,079.42 × 77,778.09
  4. Step 4: Simplify right side
    156,665.61x = 18,284,027,897.02
  5. Step 5: Solve for x
    x = 18,284,027,897.02/156,665.61
  6. Step 6: Final answer
    x = 116,707.35

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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.