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Finding the Fourth Proportional to 289,762.56, 434,705.28 and 90,078.08

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Solution

The fourth proportional to 289,762.56, 434,705.28 and 90,078.08 is: 135,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,762.56 : 434,705.28 = 90,078.08 : x
  2. Step 2: Convert to fraction form
    289,762.56/434,705.28 = 90,078.08/x
  3. Step 3: Cross multiply
    289,762.56x = 434,705.28 × 90,078.08
  4. Step 4: Simplify right side
    289,762.56x = 39,157,416,988.26
  5. Step 5: Solve for x
    x = 39,157,416,988.26/289,762.56
  6. Step 6: Final answer
    x = 135,136.22

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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.