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Finding the Fourth Proportional to 100,582, 138,787.70 and 58,132.32

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Solution

The fourth proportional to 100,582, 138,787.70 and 58,132.32 is: 80,213.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,582 : 138,787.70 = 58,132.32 : x
  2. Step 2: Convert to fraction form
    100,582/138,787.70 = 58,132.32/x
  3. Step 3: Cross multiply
    100,582x = 138,787.70 × 58,132.32
  4. Step 4: Simplify right side
    100,582x = 8,068,050,988.46
  5. Step 5: Solve for x
    x = 8,068,050,988.46/100,582
  6. Step 6: Final answer
    x = 80,213.67

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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.