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Finding the Fourth Proportional to 109,931.70, 164,865.15 and 43,349.70

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Solution

The fourth proportional to 109,931.70, 164,865.15 and 43,349.70 is: 65,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,931.70 : 164,865.15 = 43,349.70 : x
  2. Step 2: Convert to fraction form
    109,931.70/164,865.15 = 43,349.70/x
  3. Step 3: Cross multiply
    109,931.70x = 164,865.15 × 43,349.70
  4. Step 4: Simplify right side
    109,931.70x = 7,146,854,792.96
  5. Step 5: Solve for x
    x = 7,146,854,792.96/109,931.70
  6. Step 6: Final answer
    x = 65,011.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.