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Finding the Fourth Proportional to 56,352, 77,768.20 and 31,201.50

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Solution

The fourth proportional to 56,352, 77,768.20 and 31,201.50 is: 43,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,352 : 77,768.20 = 31,201.50 : x
  2. Step 2: Convert to fraction form
    56,352/77,768.20 = 31,201.50/x
  3. Step 3: Cross multiply
    56,352x = 77,768.20 × 31,201.50
  4. Step 4: Simplify right side
    56,352x = 2,426,484,492.30
  5. Step 5: Solve for x
    x = 2,426,484,492.30/56,352
  6. Step 6: Final answer
    x = 43,059.42

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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.