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Finding the Fourth Proportional to 102,594.47, 153,945.87 and 72,801.23

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Solution

The fourth proportional to 102,594.47, 153,945.87 and 72,801.23 is: 109,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,594.47 : 153,945.87 = 72,801.23 : x
  2. Step 2: Convert to fraction form
    102,594.47/153,945.87 = 72,801.23/x
  3. Step 3: Cross multiply
    102,594.47x = 153,945.87 × 72,801.23
  4. Step 4: Simplify right side
    102,594.47x = 11,207,448,512.63
  5. Step 5: Solve for x
    x = 11,207,448,512.63/102,594.47
  6. Step 6: Final answer
    x = 109,240.28

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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.