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Finding the Fourth Proportional to 129,705, 178,992.90 and 70,089

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Solution

The fourth proportional to 129,705, 178,992.90 and 70,089 is: 96,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,705 : 178,992.90 = 70,089 : x
  2. Step 2: Convert to fraction form
    129,705/178,992.90 = 70,089/x
  3. Step 3: Cross multiply
    129,705x = 178,992.90 × 70,089
  4. Step 4: Simplify right side
    129,705x = 12,545,433,368.10
  5. Step 5: Solve for x
    x = 12,545,433,368.10/129,705
  6. Step 6: Final answer
    x = 96,722.82

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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.