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Finding the Fourth Proportional to 101,962.48, 140,730.70 and 56,656

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Solution

The fourth proportional to 101,962.48, 140,730.70 and 56,656 is: 78,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962.48 : 140,730.70 = 56,656 : x
  2. Step 2: Convert to fraction form
    101,962.48/140,730.70 = 56,656/x
  3. Step 3: Cross multiply
    101,962.48x = 140,730.70 × 56,656
  4. Step 4: Simplify right side
    101,962.48x = 7,973,238,539.20
  5. Step 5: Solve for x
    x = 7,973,238,539.20/101,962.48
  6. Step 6: Final answer
    x = 78,197.77

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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.