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Finding the Fourth Proportional to 56,275.84, 77,662.04 and 30,784.60

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Solution

The fourth proportional to 56,275.84, 77,662.04 and 30,784.60 is: 42,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,275.84 : 77,662.04 = 30,784.60 : x
  2. Step 2: Convert to fraction form
    56,275.84/77,662.04 = 30,784.60/x
  3. Step 3: Cross multiply
    56,275.84x = 77,662.04 × 30,784.60
  4. Step 4: Simplify right side
    56,275.84x = 2,390,794,836.58
  5. Step 5: Solve for x
    x = 2,390,794,836.58/56,275.84
  6. Step 6: Final answer
    x = 42,483.50

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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.