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Finding the Fourth Proportional to 101,641, 140,264.58 and 56,929

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Solution

The fourth proportional to 101,641, 140,264.58 and 56,929 is: 78,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,641 : 140,264.58 = 56,929 : x
  2. Step 2: Convert to fraction form
    101,641/140,264.58 = 56,929/x
  3. Step 3: Cross multiply
    101,641x = 140,264.58 × 56,929
  4. Step 4: Simplify right side
    101,641x = 7,985,122,274.82
  5. Step 5: Solve for x
    x = 7,985,122,274.82/101,641
  6. Step 6: Final answer
    x = 78,562.02

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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.