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Finding the Fourth Proportional to 210,009.74, 289,814.80 and 114,518.02

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Solution

The fourth proportional to 210,009.74, 289,814.80 and 114,518.02 is: 158,035.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,009.74 : 289,814.80 = 114,518.02 : x
  2. Step 2: Convert to fraction form
    210,009.74/289,814.80 = 114,518.02/x
  3. Step 3: Cross multiply
    210,009.74x = 289,814.80 × 114,518.02
  4. Step 4: Simplify right side
    210,009.74x = 33,189,017,062.70
  5. Step 5: Solve for x
    x = 33,189,017,062.70/210,009.74
  6. Step 6: Final answer
    x = 158,035.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.