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Finding the Fourth Proportional to 77,492.20, 115,946.70 and 51,248.20

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Solution

The fourth proportional to 77,492.20, 115,946.70 and 51,248.20 is: 76,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,492.20 : 115,946.70 = 51,248.20 : x
  2. Step 2: Convert to fraction form
    77,492.20/115,946.70 = 51,248.20/x
  3. Step 3: Cross multiply
    77,492.20x = 115,946.70 × 51,248.20
  4. Step 4: Simplify right side
    77,492.20x = 5,942,059,670.94
  5. Step 5: Solve for x
    x = 5,942,059,670.94/77,492.20
  6. Step 6: Final answer
    x = 76,679.46

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1.5x scale

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.