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Finding the Fourth Proportional to 77,307.84, 106,705.84 and 45,487

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Solution

The fourth proportional to 77,307.84, 106,705.84 and 45,487 is: 62,784.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,307.84 : 106,705.84 = 45,487 : x
  2. Step 2: Convert to fraction form
    77,307.84/106,705.84 = 45,487/x
  3. Step 3: Cross multiply
    77,307.84x = 106,705.84 × 45,487
  4. Step 4: Simplify right side
    77,307.84x = 4,853,728,544.08
  5. Step 5: Solve for x
    x = 4,853,728,544.08/77,307.84
  6. Step 6: Final answer
    x = 62,784.43

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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.