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Finding the Fourth Proportional to 109,740.60, 164,610.90 and 65,417.40

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Solution

The fourth proportional to 109,740.60, 164,610.90 and 65,417.40 is: 98,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,740.60 : 164,610.90 = 65,417.40 : x
  2. Step 2: Convert to fraction form
    109,740.60/164,610.90 = 65,417.40/x
  3. Step 3: Cross multiply
    109,740.60x = 164,610.90 × 65,417.40
  4. Step 4: Simplify right side
    109,740.60x = 10,768,417,089.66
  5. Step 5: Solve for x
    x = 10,768,417,089.66/109,740.60
  6. Step 6: Final answer
    x = 98,126.10

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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.