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Finding the Fourth Proportional to 77,012.64, 115,489.80 and 30,240

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Solution

The fourth proportional to 77,012.64, 115,489.80 and 30,240 is: 45,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,012.64 : 115,489.80 = 30,240 : x
  2. Step 2: Convert to fraction form
    77,012.64/115,489.80 = 30,240/x
  3. Step 3: Cross multiply
    77,012.64x = 115,489.80 × 30,240
  4. Step 4: Simplify right side
    77,012.64x = 3,492,411,552
  5. Step 5: Solve for x
    x = 3,492,411,552/77,012.64
  6. Step 6: Final answer
    x = 45,348.55

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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.