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Finding the Fourth Proportional to 99,564, 137,364.28 and 63,775.56

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Solution

The fourth proportional to 99,564, 137,364.28 and 63,775.56 is: 87,988.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,564 : 137,364.28 = 63,775.56 : x
  2. Step 2: Convert to fraction form
    99,564/137,364.28 = 63,775.56/x
  3. Step 3: Cross multiply
    99,564x = 137,364.28 × 63,775.56
  4. Step 4: Simplify right side
    99,564x = 8,760,483,881.00
  5. Step 5: Solve for x
    x = 8,760,483,881.00/99,564
  6. Step 6: Final answer
    x = 87,988.47

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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.