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Finding the Fourth Proportional to 208,412.16, 287,503.92 and 136,782.24

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Solution

The fourth proportional to 208,412.16, 287,503.92 and 136,782.24 is: 188,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412.16 : 287,503.92 = 136,782.24 : x
  2. Step 2: Convert to fraction form
    208,412.16/287,503.92 = 136,782.24/x
  3. Step 3: Cross multiply
    208,412.16x = 287,503.92 × 136,782.24
  4. Step 4: Simplify right side
    208,412.16x = 39,325,430,186.38
  5. Step 5: Solve for x
    x = 39,325,430,186.38/208,412.16
  6. Step 6: Final answer
    x = 188,690.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.