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Finding the Fourth Proportional to 102,537.40, 153,806.10 and 71,044.60

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Solution

The fourth proportional to 102,537.40, 153,806.10 and 71,044.60 is: 106,566.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,537.40 : 153,806.10 = 71,044.60 : x
  2. Step 2: Convert to fraction form
    102,537.40/153,806.10 = 71,044.60/x
  3. Step 3: Cross multiply
    102,537.40x = 153,806.10 × 71,044.60
  4. Step 4: Simplify right side
    102,537.40x = 10,927,092,852.06
  5. Step 5: Solve for x
    x = 10,927,092,852.06/102,537.40
  6. Step 6: Final answer
    x = 106,566.90

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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.