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Finding the Fourth Proportional to 130,430, 179,994.12 and 70,814

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Solution

The fourth proportional to 130,430, 179,994.12 and 70,814 is: 97,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,430 : 179,994.12 = 70,814 : x
  2. Step 2: Convert to fraction form
    130,430/179,994.12 = 70,814/x
  3. Step 3: Cross multiply
    130,430x = 179,994.12 × 70,814
  4. Step 4: Simplify right side
    130,430x = 12,746,103,613.68
  5. Step 5: Solve for x
    x = 12,746,103,613.68/130,430
  6. Step 6: Final answer
    x = 97,723.71

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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.