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Finding the Fourth Proportional to 42,966.40, 64,430.40 and 16,662.40

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Solution

The fourth proportional to 42,966.40, 64,430.40 and 16,662.40 is: 24,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,966.40 : 64,430.40 = 16,662.40 : x
  2. Step 2: Convert to fraction form
    42,966.40/64,430.40 = 16,662.40/x
  3. Step 3: Cross multiply
    42,966.40x = 64,430.40 × 16,662.40
  4. Step 4: Simplify right side
    42,966.40x = 1,073,565,096.96
  5. Step 5: Solve for x
    x = 1,073,565,096.96/42,966.40
  6. Step 6: Final answer
    x = 24,986.15

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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.