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Finding the Fourth Proportional to 183,894.49, 253,746.84 and 103,306.78

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Solution

The fourth proportional to 183,894.49, 253,746.84 and 103,306.78 is: 142,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,894.49 : 253,746.84 = 103,306.78 : x
  2. Step 2: Convert to fraction form
    183,894.49/253,746.84 = 103,306.78/x
  3. Step 3: Cross multiply
    183,894.49x = 253,746.84 × 103,306.78
  4. Step 4: Simplify right side
    183,894.49x = 26,213,768,975.58
  5. Step 5: Solve for x
    x = 26,213,768,975.58/183,894.49
  6. Step 6: Final answer
    x = 142,547.88

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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.