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Finding the Fourth Proportional to 154,312, 212,951.84 and 83,656

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Solution

The fourth proportional to 154,312, 212,951.84 and 83,656 is: 115,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,312 : 212,951.84 = 83,656 : x
  2. Step 2: Convert to fraction form
    154,312/212,951.84 = 83,656/x
  3. Step 3: Cross multiply
    154,312x = 212,951.84 × 83,656
  4. Step 4: Simplify right side
    154,312x = 17,814,699,127.04
  5. Step 5: Solve for x
    x = 17,814,699,127.04/154,312
  6. Step 6: Final answer
    x = 115,445.97

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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.