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Finding the Fourth Proportional to 72,638.47, 100,223.45 and 42,406.48

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Solution

The fourth proportional to 72,638.47, 100,223.45 and 42,406.48 is: 58,510.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,638.47 : 100,223.45 = 42,406.48 : x
  2. Step 2: Convert to fraction form
    72,638.47/100,223.45 = 42,406.48/x
  3. Step 3: Cross multiply
    72,638.47x = 100,223.45 × 42,406.48
  4. Step 4: Simplify right side
    72,638.47x = 4,250,123,226.84
  5. Step 5: Solve for x
    x = 4,250,123,226.84/72,638.47
  6. Step 6: Final answer
    x = 58,510.64

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1.5x scale

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.