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Finding the Fourth Proportional to 261,839, 361,307.40 and 147,101.72

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Solution

The fourth proportional to 261,839, 361,307.40 and 147,101.72 is: 202,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,839 : 361,307.40 = 147,101.72 : x
  2. Step 2: Convert to fraction form
    261,839/361,307.40 = 147,101.72/x
  3. Step 3: Cross multiply
    261,839x = 361,307.40 × 147,101.72
  4. Step 4: Simplify right side
    261,839x = 53,148,939,988.73
  5. Step 5: Solve for x
    x = 53,148,939,988.73/261,839
  6. Step 6: Final answer
    x = 202,983.28

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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.