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Finding the Fourth Proportional to 140,347.32, 210,373.92 and 65,405.64

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Solution

The fourth proportional to 140,347.32, 210,373.92 and 65,405.64 is: 98,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,347.32 : 210,373.92 = 65,405.64 : x
  2. Step 2: Convert to fraction form
    140,347.32/210,373.92 = 65,405.64/x
  3. Step 3: Cross multiply
    140,347.32x = 210,373.92 × 65,405.64
  4. Step 4: Simplify right side
    140,347.32x = 13,759,640,876.91
  5. Step 5: Solve for x
    x = 13,759,640,876.91/140,347.32
  6. Step 6: Final answer
    x = 98,039.93

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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.