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Finding the Fourth Proportional to 72,638.46, 100,009.35 and 61,985.34

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Solution

The fourth proportional to 72,638.46, 100,009.35 and 61,985.34 is: 85,342.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,638.46 : 100,009.35 = 61,985.34 : x
  2. Step 2: Convert to fraction form
    72,638.46/100,009.35 = 61,985.34/x
  3. Step 3: Cross multiply
    72,638.46x = 100,009.35 × 61,985.34
  4. Step 4: Simplify right side
    72,638.46x = 6,199,113,562.93
  5. Step 5: Solve for x
    x = 6,199,113,562.93/72,638.46
  6. Step 6: Final answer
    x = 85,342.03

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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.