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Finding the Fourth Proportional to 149,851.80, 224,486.10 and 90,511.20

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Solution

The fourth proportional to 149,851.80, 224,486.10 and 90,511.20 is: 135,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,851.80 : 224,486.10 = 90,511.20 : x
  2. Step 2: Convert to fraction form
    149,851.80/224,486.10 = 90,511.20/x
  3. Step 3: Cross multiply
    149,851.80x = 224,486.10 × 90,511.20
  4. Step 4: Simplify right side
    149,851.80x = 20,318,506,294.32
  5. Step 5: Solve for x
    x = 20,318,506,294.32/149,851.80
  6. Step 6: Final answer
    x = 135,590.67

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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.