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Finding the Fourth Proportional to 155,802, 233,703.08 and 120,315.20

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Solution

The fourth proportional to 155,802, 233,703.08 and 120,315.20 is: 180,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,802 : 233,703.08 = 120,315.20 : x
  2. Step 2: Convert to fraction form
    155,802/233,703.08 = 120,315.20/x
  3. Step 3: Cross multiply
    155,802x = 233,703.08 × 120,315.20
  4. Step 4: Simplify right side
    155,802x = 28,118,031,040.72
  5. Step 5: Solve for x
    x = 28,118,031,040.72/155,802
  6. Step 6: Final answer
    x = 180,472.85

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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.