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Finding the Fourth Proportional to 105,440, 158,160.16 and 43,110.40

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Solution

The fourth proportional to 105,440, 158,160.16 and 43,110.40 is: 64,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,440 : 158,160.16 = 43,110.40 : x
  2. Step 2: Convert to fraction form
    105,440/158,160.16 = 43,110.40/x
  3. Step 3: Cross multiply
    105,440x = 158,160.16 × 43,110.40
  4. Step 4: Simplify right side
    105,440x = 6,818,347,761.66
  5. Step 5: Solve for x
    x = 6,818,347,761.66/105,440
  6. Step 6: Final answer
    x = 64,665.67

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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.