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Finding the Fourth Proportional to 113,865.04, 157,133.92 and 63,564

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Solution

The fourth proportional to 113,865.04, 157,133.92 and 63,564 is: 87,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,865.04 : 157,133.92 = 63,564 : x
  2. Step 2: Convert to fraction form
    113,865.04/157,133.92 = 63,564/x
  3. Step 3: Cross multiply
    113,865.04x = 157,133.92 × 63,564
  4. Step 4: Simplify right side
    113,865.04x = 9,988,060,490.88
  5. Step 5: Solve for x
    x = 9,988,060,490.88/113,865.04
  6. Step 6: Final answer
    x = 87,718.41

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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.