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Finding the Fourth Proportional to 157,641.56, 217,513.48 and 100,303.64

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Solution

The fourth proportional to 157,641.56, 217,513.48 and 100,303.64 is: 138,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,641.56 : 217,513.48 = 100,303.64 : x
  2. Step 2: Convert to fraction form
    157,641.56/217,513.48 = 100,303.64/x
  3. Step 3: Cross multiply
    157,641.56x = 217,513.48 × 100,303.64
  4. Step 4: Simplify right side
    157,641.56x = 21,817,393,793.07
  5. Step 5: Solve for x
    x = 21,817,393,793.07/157,641.56
  6. Step 6: Final answer
    x = 138,398.74

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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.