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Finding the Fourth Proportional to 153,302.90, 229,965.89 and 40,980.67

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Solution

The fourth proportional to 153,302.90, 229,965.89 and 40,980.67 is: 61,474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,302.90 : 229,965.89 = 40,980.67 : x
  2. Step 2: Convert to fraction form
    153,302.90/229,965.89 = 40,980.67/x
  3. Step 3: Cross multiply
    153,302.90x = 229,965.89 × 40,980.67
  4. Step 4: Simplify right side
    153,302.90x = 9,424,155,469.53
  5. Step 5: Solve for x
    x = 9,424,155,469.53/153,302.90
  6. Step 6: Final answer
    x = 61,474.09

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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.