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Finding the Fourth Proportional to 102,502.10, 153,643.80 and 39,297.80

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Solution

The fourth proportional to 102,502.10, 153,643.80 and 39,297.80 is: 58,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,502.10 : 153,643.80 = 39,297.80 : x
  2. Step 2: Convert to fraction form
    102,502.10/153,643.80 = 39,297.80/x
  3. Step 3: Cross multiply
    102,502.10x = 153,643.80 × 39,297.80
  4. Step 4: Simplify right side
    102,502.10x = 6,037,863,323.64
  5. Step 5: Solve for x
    x = 6,037,863,323.64/102,502.10
  6. Step 6: Final answer
    x = 58,904.78

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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.