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Finding the Fourth Proportional to 101,315.80, 151,973.70 and 81,632.80

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Solution

The fourth proportional to 101,315.80, 151,973.70 and 81,632.80 is: 122,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,315.80 : 151,973.70 = 81,632.80 : x
  2. Step 2: Convert to fraction form
    101,315.80/151,973.70 = 81,632.80/x
  3. Step 3: Cross multiply
    101,315.80x = 151,973.70 × 81,632.80
  4. Step 4: Simplify right side
    101,315.80x = 12,406,038,657.36
  5. Step 5: Solve for x
    x = 12,406,038,657.36/101,315.80
  6. Step 6: Final answer
    x = 122,449.20

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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.