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Finding the Fourth Proportional to 279,166.64, 418,683.72 and 99,237.20

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Solution

The fourth proportional to 279,166.64, 418,683.72 and 99,237.20 is: 148,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,166.64 : 418,683.72 = 99,237.20 : x
  2. Step 2: Convert to fraction form
    279,166.64/418,683.72 = 99,237.20/x
  3. Step 3: Cross multiply
    279,166.64x = 418,683.72 × 99,237.20
  4. Step 4: Simplify right side
    279,166.64x = 41,549,000,058.38
  5. Step 5: Solve for x
    x = 41,549,000,058.38/279,166.64
  6. Step 6: Final answer
    x = 148,832.25

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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.