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Finding the Fourth Proportional to 145,966.80, 219,047.40 and 67,040.40

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Solution

The fourth proportional to 145,966.80, 219,047.40 and 67,040.40 is: 100,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,966.80 : 219,047.40 = 67,040.40 : x
  2. Step 2: Convert to fraction form
    145,966.80/219,047.40 = 67,040.40/x
  3. Step 3: Cross multiply
    145,966.80x = 219,047.40 × 67,040.40
  4. Step 4: Simplify right side
    145,966.80x = 14,685,025,314.96
  5. Step 5: Solve for x
    x = 14,685,025,314.96/145,966.80
  6. Step 6: Final answer
    x = 100,605.24

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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.