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Finding the Fourth Proportional to 102,157.35, 140,978.43 and 56,222.28

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Solution

The fourth proportional to 102,157.35, 140,978.43 and 56,222.28 is: 77,587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,157.35 : 140,978.43 = 56,222.28 : x
  2. Step 2: Convert to fraction form
    102,157.35/140,978.43 = 56,222.28/x
  3. Step 3: Cross multiply
    102,157.35x = 140,978.43 × 56,222.28
  4. Step 4: Simplify right side
    102,157.35x = 7,926,128,765.42
  5. Step 5: Solve for x
    x = 7,926,128,765.42/102,157.35
  6. Step 6: Final answer
    x = 77,587.45

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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.