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Finding the Fourth Proportional to 70,486.64, 97,274.32 and 38,656.64

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Solution

The fourth proportional to 70,486.64, 97,274.32 and 38,656.64 is: 53,347.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486.64 : 97,274.32 = 38,656.64 : x
  2. Step 2: Convert to fraction form
    70,486.64/97,274.32 = 38,656.64/x
  3. Step 3: Cross multiply
    70,486.64x = 97,274.32 × 38,656.64
  4. Step 4: Simplify right side
    70,486.64x = 3,760,298,369.48
  5. Step 5: Solve for x
    x = 3,760,298,369.48/70,486.64
  6. Step 6: Final answer
    x = 53,347.68

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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.