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Finding the Fourth Proportional to 280,136, 420,207.66 and 93,147.50

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Solution

The fourth proportional to 280,136, 420,207.66 and 93,147.50 is: 139,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,136 : 420,207.66 = 93,147.50 : x
  2. Step 2: Convert to fraction form
    280,136/420,207.66 = 93,147.50/x
  3. Step 3: Cross multiply
    280,136x = 420,207.66 × 93,147.50
  4. Step 4: Simplify right side
    280,136x = 39,141,293,009.85
  5. Step 5: Solve for x
    x = 39,141,293,009.85/280,136
  6. Step 6: Final answer
    x = 139,722.47

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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.