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Finding the Fourth Proportional to 101,509.86, 152,264.13 and 79,341.90

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Solution

The fourth proportional to 101,509.86, 152,264.13 and 79,341.90 is: 119,012.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,509.86 : 152,264.13 = 79,341.90 : x
  2. Step 2: Convert to fraction form
    101,509.86/152,264.13 = 79,341.90/x
  3. Step 3: Cross multiply
    101,509.86x = 152,264.13 × 79,341.90
  4. Step 4: Simplify right side
    101,509.86x = 12,080,925,376.05
  5. Step 5: Solve for x
    x = 12,080,925,376.05/101,509.86
  6. Step 6: Final answer
    x = 119,012.33

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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.