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Finding the Fourth Proportional to 156,718, 235,076.49 and 56,878.06

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Solution

The fourth proportional to 156,718, 235,076.49 and 56,878.06 is: 85,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,718 : 235,076.49 = 56,878.06 : x
  2. Step 2: Convert to fraction form
    156,718/235,076.49 = 56,878.06/x
  3. Step 3: Cross multiply
    156,718x = 235,076.49 × 56,878.06
  4. Step 4: Simplify right side
    156,718x = 13,370,694,702.81
  5. Step 5: Solve for x
    x = 13,370,694,702.81/156,718
  6. Step 6: Final answer
    x = 85,316.90

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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.