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Finding the Fourth Proportional to 154,877.76, 213,730.32 and 85,966.48

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Solution

The fourth proportional to 154,877.76, 213,730.32 and 85,966.48 is: 118,633.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,877.76 : 213,730.32 = 85,966.48 : x
  2. Step 2: Convert to fraction form
    154,877.76/213,730.32 = 85,966.48/x
  3. Step 3: Cross multiply
    154,877.76x = 213,730.32 × 85,966.48
  4. Step 4: Simplify right side
    154,877.76x = 18,373,643,279.67
  5. Step 5: Solve for x
    x = 18,373,643,279.67/154,877.76
  6. Step 6: Final answer
    x = 118,633.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.