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Finding the Fourth Proportional to 152,152.64, 209,899.92 and 98,455.04

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Solution

The fourth proportional to 152,152.64, 209,899.92 and 98,455.04 is: 135,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,152.64 : 209,899.92 = 98,455.04 : x
  2. Step 2: Convert to fraction form
    152,152.64/209,899.92 = 98,455.04/x
  3. Step 3: Cross multiply
    152,152.64x = 209,899.92 × 98,455.04
  4. Step 4: Simplify right side
    152,152.64x = 20,665,705,019.60
  5. Step 5: Solve for x
    x = 20,665,705,019.60/152,152.64
  6. Step 6: Final answer
    x = 135,822.19

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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.