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Finding the Fourth Proportional to 65,409.70, 97,855.35 and 56,740.90

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Solution

The fourth proportional to 65,409.70, 97,855.35 and 56,740.90 is: 84,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.70 : 97,855.35 = 56,740.90 : x
  2. Step 2: Convert to fraction form
    65,409.70/97,855.35 = 56,740.90/x
  3. Step 3: Cross multiply
    65,409.70x = 97,855.35 × 56,740.90
  4. Step 4: Simplify right side
    65,409.70x = 5,552,400,628.82
  5. Step 5: Solve for x
    x = 5,552,400,628.82/65,409.70
  6. Step 6: Final answer
    x = 84,886.50

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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.