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Finding the Fourth Proportional to 65,158.88, 97,686.14 and 42,808.64

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Solution

The fourth proportional to 65,158.88, 97,686.14 and 42,808.64 is: 64,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,158.88 : 97,686.14 = 42,808.64 : x
  2. Step 2: Convert to fraction form
    65,158.88/97,686.14 = 42,808.64/x
  3. Step 3: Cross multiply
    65,158.88x = 97,686.14 × 42,808.64
  4. Step 4: Simplify right side
    65,158.88x = 4,181,810,800.25
  5. Step 5: Solve for x
    x = 4,181,810,800.25/65,158.88
  6. Step 6: Final answer
    x = 64,178.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.