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Finding the Fourth Proportional to 157,907.84, 217,912.56 and 86,287.88

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Solution

The fourth proportional to 157,907.84, 217,912.56 and 86,287.88 is: 119,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,907.84 : 217,912.56 = 86,287.88 : x
  2. Step 2: Convert to fraction form
    157,907.84/217,912.56 = 86,287.88/x
  3. Step 3: Cross multiply
    157,907.84x = 217,912.56 × 86,287.88
  4. Step 4: Simplify right side
    157,907.84x = 18,803,212,827.77
  5. Step 5: Solve for x
    x = 18,803,212,827.77/157,907.84
  6. Step 6: Final answer
    x = 119,077.13

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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.