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Finding the Fourth Proportional to 147,197.20, 202,928.06 and 99,374.80

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Solution

The fourth proportional to 147,197.20, 202,928.06 and 99,374.80 is: 136,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,197.20 : 202,928.06 = 99,374.80 : x
  2. Step 2: Convert to fraction form
    147,197.20/202,928.06 = 99,374.80/x
  3. Step 3: Cross multiply
    147,197.20x = 202,928.06 × 99,374.80
  4. Step 4: Simplify right side
    147,197.20x = 20,165,935,376.89
  5. Step 5: Solve for x
    x = 20,165,935,376.89/147,197.20
  6. Step 6: Final answer
    x = 136,999.45

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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.