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Finding the Fourth Proportional to 261,129.75, 360,373.64 and 147,988.95

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Solution

The fourth proportional to 261,129.75, 360,373.64 and 147,988.95 is: 204,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,129.75 : 360,373.64 = 147,988.95 : x
  2. Step 2: Convert to fraction form
    261,129.75/360,373.64 = 147,988.95/x
  3. Step 3: Cross multiply
    261,129.75x = 360,373.64 × 147,988.95
  4. Step 4: Simplify right side
    261,129.75x = 53,331,315,851.33
  5. Step 5: Solve for x
    x = 53,331,315,851.33/261,129.75
  6. Step 6: Final answer
    x = 204,233.01

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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.