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Finding the Fourth Proportional to 56,076, 77,384.88 and 33,720

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Solution

The fourth proportional to 56,076, 77,384.88 and 33,720 is: 46,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,076 : 77,384.88 = 33,720 : x
  2. Step 2: Convert to fraction form
    56,076/77,384.88 = 33,720/x
  3. Step 3: Cross multiply
    56,076x = 77,384.88 × 33,720
  4. Step 4: Simplify right side
    56,076x = 2,609,418,153.60
  5. Step 5: Solve for x
    x = 2,609,418,153.60/56,076
  6. Step 6: Final answer
    x = 46,533.60

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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.