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Finding the Fourth Proportional to 65,438.40, 98,136 and 21,054.54

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Solution

The fourth proportional to 65,438.40, 98,136 and 21,054.54 is: 31,574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,438.40 : 98,136 = 21,054.54 : x
  2. Step 2: Convert to fraction form
    65,438.40/98,136 = 21,054.54/x
  3. Step 3: Cross multiply
    65,438.40x = 98,136 × 21,054.54
  4. Step 4: Simplify right side
    65,438.40x = 2,066,208,337.44
  5. Step 5: Solve for x
    x = 2,066,208,337.44/65,438.40
  6. Step 6: Final answer
    x = 31,574.86

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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.