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Finding the Fourth Proportional to 101,348.71, 152,047.84 and 71,421.32

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Solution

The fourth proportional to 101,348.71, 152,047.84 and 71,421.32 is: 107,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,348.71 : 152,047.84 = 71,421.32 : x
  2. Step 2: Convert to fraction form
    101,348.71/152,047.84 = 71,421.32/x
  3. Step 3: Cross multiply
    101,348.71x = 152,047.84 × 71,421.32
  4. Step 4: Simplify right side
    101,348.71x = 10,859,457,637.52
  5. Step 5: Solve for x
    x = 10,859,457,637.52/101,348.71
  6. Step 6: Final answer
    x = 107,149.44

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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.