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Finding the Fourth Proportional to 65,009.70, 97,320.15 and 61,164.90

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Solution

The fourth proportional to 65,009.70, 97,320.15 and 61,164.90 is: 91,564.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.70 : 97,320.15 = 61,164.90 : x
  2. Step 2: Convert to fraction form
    65,009.70/97,320.15 = 61,164.90/x
  3. Step 3: Cross multiply
    65,009.70x = 97,320.15 × 61,164.90
  4. Step 4: Simplify right side
    65,009.70x = 5,952,577,242.74
  5. Step 5: Solve for x
    x = 5,952,577,242.74/65,009.70
  6. Step 6: Final answer
    x = 91,564.45

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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.