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Finding the Fourth Proportional to 64,807.30, 97,101.60 and 31,455.55

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Solution

The fourth proportional to 64,807.30, 97,101.60 and 31,455.55 is: 47,130.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,807.30 : 97,101.60 = 31,455.55 : x
  2. Step 2: Convert to fraction form
    64,807.30/97,101.60 = 31,455.55/x
  3. Step 3: Cross multiply
    64,807.30x = 97,101.60 × 31,455.55
  4. Step 4: Simplify right side
    64,807.30x = 3,054,384,233.88
  5. Step 5: Solve for x
    x = 3,054,384,233.88/64,807.30
  6. Step 6: Final answer
    x = 47,130.25

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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.