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Finding the Fourth Proportional to 64,851.40, 97,058.40 and 56,978.20

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Solution

The fourth proportional to 64,851.40, 97,058.40 and 56,978.20 is: 85,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,851.40 : 97,058.40 = 56,978.20 : x
  2. Step 2: Convert to fraction form
    64,851.40/97,058.40 = 56,978.20/x
  3. Step 3: Cross multiply
    64,851.40x = 97,058.40 × 56,978.20
  4. Step 4: Simplify right side
    64,851.40x = 5,530,212,926.88
  5. Step 5: Solve for x
    x = 5,530,212,926.88/64,851.40
  6. Step 6: Final answer
    x = 85,275.15

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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.