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Finding the Fourth Proportional to 65,211.60, 97,687.80 and 37,477.20

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Solution

The fourth proportional to 65,211.60, 97,687.80 and 37,477.20 is: 56,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,211.60 : 97,687.80 = 37,477.20 : x
  2. Step 2: Convert to fraction form
    65,211.60/97,687.80 = 37,477.20/x
  3. Step 3: Cross multiply
    65,211.60x = 97,687.80 × 37,477.20
  4. Step 4: Simplify right side
    65,211.60x = 3,661,065,218.16
  5. Step 5: Solve for x
    x = 3,661,065,218.16/65,211.60
  6. Step 6: Final answer
    x = 56,141.32

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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.