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Finding the Fourth Proportional to 140,510.40, 210,834.80 and 65,619.68

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Solution

The fourth proportional to 140,510.40, 210,834.80 and 65,619.68 is: 98,461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,510.40 : 210,834.80 = 65,619.68 : x
  2. Step 2: Convert to fraction form
    140,510.40/210,834.80 = 65,619.68/x
  3. Step 3: Cross multiply
    140,510.40x = 210,834.80 × 65,619.68
  4. Step 4: Simplify right side
    140,510.40x = 13,834,912,108.86
  5. Step 5: Solve for x
    x = 13,834,912,108.86/140,510.40
  6. Step 6: Final answer
    x = 98,461.84

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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.