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Finding the Fourth Proportional to 144,314.40, 216,325.80 and 65,485.20

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Solution

The fourth proportional to 144,314.40, 216,325.80 and 65,485.20 is: 98,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,314.40 : 216,325.80 = 65,485.20 : x
  2. Step 2: Convert to fraction form
    144,314.40/216,325.80 = 65,485.20/x
  3. Step 3: Cross multiply
    144,314.40x = 216,325.80 × 65,485.20
  4. Step 4: Simplify right side
    144,314.40x = 14,166,138,278.16
  5. Step 5: Solve for x
    x = 14,166,138,278.16/144,314.40
  6. Step 6: Final answer
    x = 98,161.64

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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.