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Finding the Fourth Proportional to 154,857.74, 213,702.71 and 85,946.45

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Solution

The fourth proportional to 154,857.74, 213,702.71 and 85,946.45 is: 118,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,857.74 : 213,702.71 = 85,946.45 : x
  2. Step 2: Convert to fraction form
    154,857.74/213,702.71 = 85,946.45/x
  3. Step 3: Cross multiply
    154,857.74x = 213,702.71 × 85,946.45
  4. Step 4: Simplify right side
    154,857.74x = 18,366,987,781.63
  5. Step 5: Solve for x
    x = 18,366,987,781.63/154,857.74
  6. Step 6: Final answer
    x = 118,605.56

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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.