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Finding the Fourth Proportional to 64,902, 97,353.12 and 21,126

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Solution

The fourth proportional to 64,902, 97,353.12 and 21,126 is: 31,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902 : 97,353.12 = 21,126 : x
  2. Step 2: Convert to fraction form
    64,902/97,353.12 = 21,126/x
  3. Step 3: Cross multiply
    64,902x = 97,353.12 × 21,126
  4. Step 4: Simplify right side
    64,902x = 2,056,682,013.12
  5. Step 5: Solve for x
    x = 2,056,682,013.12/64,902
  6. Step 6: Final answer
    x = 31,689.04

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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.