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Finding the Fourth Proportional to 142,817.58, 212,949.51 and 138,894.06

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Solution

The fourth proportional to 142,817.58, 212,949.51 and 138,894.06 is: 207,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,817.58 : 212,949.51 = 138,894.06 : x
  2. Step 2: Convert to fraction form
    142,817.58/212,949.51 = 138,894.06/x
  3. Step 3: Cross multiply
    142,817.58x = 212,949.51 × 138,894.06
  4. Step 4: Simplify right side
    142,817.58x = 29,577,422,018.91
  5. Step 5: Solve for x
    x = 29,577,422,018.91/142,817.58
  6. Step 6: Final answer
    x = 207,099.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.