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Finding the Fourth Proportional to 102,638.80, 153,812.40 and 71,437.60

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Solution

The fourth proportional to 102,638.80, 153,812.40 and 71,437.60 is: 107,054.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.80 : 153,812.40 = 71,437.60 : x
  2. Step 2: Convert to fraction form
    102,638.80/153,812.40 = 71,437.60/x
  3. Step 3: Cross multiply
    102,638.80x = 153,812.40 × 71,437.60
  4. Step 4: Simplify right side
    102,638.80x = 10,987,988,706.24
  5. Step 5: Solve for x
    x = 10,987,988,706.24/102,638.80
  6. Step 6: Final answer
    x = 107,054.92

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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.