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Finding the Fourth Proportional to 109,406.60, 164,109.90 and 97,656.20

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Solution

The fourth proportional to 109,406.60, 164,109.90 and 97,656.20 is: 146,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,406.60 : 164,109.90 = 97,656.20 : x
  2. Step 2: Convert to fraction form
    109,406.60/164,109.90 = 97,656.20/x
  3. Step 3: Cross multiply
    109,406.60x = 164,109.90 × 97,656.20
  4. Step 4: Simplify right side
    109,406.60x = 16,026,349,216.38
  5. Step 5: Solve for x
    x = 16,026,349,216.38/109,406.60
  6. Step 6: Final answer
    x = 146,484.30

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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.