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Finding the Fourth Proportional to 97,785.72, 146,642.10 and 38,601.72

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Solution

The fourth proportional to 97,785.72, 146,642.10 and 38,601.72 is: 57,888.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,785.72 : 146,642.10 = 38,601.72 : x
  2. Step 2: Convert to fraction form
    97,785.72/146,642.10 = 38,601.72/x
  3. Step 3: Cross multiply
    97,785.72x = 146,642.10 × 38,601.72
  4. Step 4: Simplify right side
    97,785.72x = 5,660,637,284.41
  5. Step 5: Solve for x
    x = 5,660,637,284.41/97,785.72
  6. Step 6: Final answer
    x = 57,888.18

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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.