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Finding the Fourth Proportional to 30,223.65, 42,356.85 and 30,223.65

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Solution

The fourth proportional to 30,223.65, 42,356.85 and 30,223.65 is: 42,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,223.65 : 42,356.85 = 30,223.65 : x
  2. Step 2: Convert to fraction form
    30,223.65/42,356.85 = 30,223.65/x
  3. Step 3: Cross multiply
    30,223.65x = 42,356.85 × 30,223.65
  4. Step 4: Simplify right side
    30,223.65x = 1,280,178,609.50
  5. Step 5: Solve for x
    x = 1,280,178,609.50/30,223.65
  6. Step 6: Final answer
    x = 42,356.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.