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Finding the Fourth Proportional to 199,649.36, 299,535.42 and 119,776

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Solution

The fourth proportional to 199,649.36, 299,535.42 and 119,776 is: 179,700.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,649.36 : 299,535.42 = 119,776 : x
  2. Step 2: Convert to fraction form
    199,649.36/299,535.42 = 119,776/x
  3. Step 3: Cross multiply
    199,649.36x = 299,535.42 × 119,776
  4. Step 4: Simplify right side
    199,649.36x = 35,877,154,465.92
  5. Step 5: Solve for x
    x = 35,877,154,465.92/199,649.36
  6. Step 6: Final answer
    x = 179,700.82

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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.