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Finding the Fourth Proportional to 145,139.70, 217,421.55 and 127,821.30

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Solution

The fourth proportional to 145,139.70, 217,421.55 and 127,821.30 is: 191,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,139.70 : 217,421.55 = 127,821.30 : x
  2. Step 2: Convert to fraction form
    145,139.70/217,421.55 = 127,821.30/x
  3. Step 3: Cross multiply
    145,139.70x = 217,421.55 × 127,821.30
  4. Step 4: Simplify right side
    145,139.70x = 27,791,105,169.02
  5. Step 5: Solve for x
    x = 27,791,105,169.02/145,139.70
  6. Step 6: Final answer
    x = 191,478.31

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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.