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Finding the Fourth Proportional to 129,752.64, 178,894.88 and 105,855.04

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Solution

The fourth proportional to 129,752.64, 178,894.88 and 105,855.04 is: 145,946.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,752.64 : 178,894.88 = 105,855.04 : x
  2. Step 2: Convert to fraction form
    129,752.64/178,894.88 = 105,855.04/x
  3. Step 3: Cross multiply
    129,752.64x = 178,894.88 × 105,855.04
  4. Step 4: Simplify right side
    129,752.64x = 18,936,924,678.20
  5. Step 5: Solve for x
    x = 18,936,924,678.20/129,752.64
  6. Step 6: Final answer
    x = 145,946.35

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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.