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Finding the Fourth Proportional to 145,749.43, 218,434.78 and 65,728.63

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Solution

The fourth proportional to 145,749.43, 218,434.78 and 65,728.63 is: 98,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,749.43 : 218,434.78 = 65,728.63 : x
  2. Step 2: Convert to fraction form
    145,749.43/218,434.78 = 65,728.63/x
  3. Step 3: Cross multiply
    145,749.43x = 218,434.78 × 65,728.63
  4. Step 4: Simplify right side
    145,749.43x = 14,357,418,833.75
  5. Step 5: Solve for x
    x = 14,357,418,833.75/145,749.43
  6. Step 6: Final answer
    x = 98,507.55

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1.5x scale

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.