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Finding the Fourth Proportional to 77,142.22, 106,425.84 and 48,445

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Solution

The fourth proportional to 77,142.22, 106,425.84 and 48,445 is: 66,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,142.22 : 106,425.84 = 48,445 : x
  2. Step 2: Convert to fraction form
    77,142.22/106,425.84 = 48,445/x
  3. Step 3: Cross multiply
    77,142.22x = 106,425.84 × 48,445
  4. Step 4: Simplify right side
    77,142.22x = 5,155,799,818.80
  5. Step 5: Solve for x
    x = 5,155,799,818.80/77,142.22
  6. Step 6: Final answer
    x = 66,834.99

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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.