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Finding the Fourth Proportional to 206,989.63, 310,484.45 and 64,836.12

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Solution

The fourth proportional to 206,989.63, 310,484.45 and 64,836.12 is: 97,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989.63 : 310,484.45 = 64,836.12 : x
  2. Step 2: Convert to fraction form
    206,989.63/310,484.45 = 64,836.12/x
  3. Step 3: Cross multiply
    206,989.63x = 310,484.45 × 64,836.12
  4. Step 4: Simplify right side
    206,989.63x = 20,130,607,058.33
  5. Step 5: Solve for x
    x = 20,130,607,058.33/206,989.63
  6. Step 6: Final answer
    x = 97,254.18

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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.