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Finding the Fourth Proportional to 142,227.84, 212,878.80 and 104,773.20

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Solution

The fourth proportional to 142,227.84, 212,878.80 and 104,773.20 is: 156,818.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,227.84 : 212,878.80 = 104,773.20 : x
  2. Step 2: Convert to fraction form
    142,227.84/212,878.80 = 104,773.20/x
  3. Step 3: Cross multiply
    142,227.84x = 212,878.80 × 104,773.20
  4. Step 4: Simplify right side
    142,227.84x = 22,303,993,088.16
  5. Step 5: Solve for x
    x = 22,303,993,088.16/142,227.84
  6. Step 6: Final answer
    x = 156,818.76

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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.