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Finding the Fourth Proportional to 140,646.38, 210,686.88 and 65,663.06

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Solution

The fourth proportional to 140,646.38, 210,686.88 and 65,663.06 is: 98,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,646.38 : 210,686.88 = 65,663.06 : x
  2. Step 2: Convert to fraction form
    140,646.38/210,686.88 = 65,663.06/x
  3. Step 3: Cross multiply
    140,646.38x = 210,686.88 × 65,663.06
  4. Step 4: Simplify right side
    140,646.38x = 13,834,345,242.65
  5. Step 5: Solve for x
    x = 13,834,345,242.65/140,646.38
  6. Step 6: Final answer
    x = 98,362.61

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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.