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Finding the Fourth Proportional to 261,017.80, 360,199.50 and 152,142.52

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Solution

The fourth proportional to 261,017.80, 360,199.50 and 152,142.52 is: 209,953.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,017.80 : 360,199.50 = 152,142.52 : x
  2. Step 2: Convert to fraction form
    261,017.80/360,199.50 = 152,142.52/x
  3. Step 3: Cross multiply
    261,017.80x = 360,199.50 × 152,142.52
  4. Step 4: Simplify right side
    261,017.80x = 54,801,659,632.74
  5. Step 5: Solve for x
    x = 54,801,659,632.74/261,017.80
  6. Step 6: Final answer
    x = 209,953.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.