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Finding the Fourth Proportional to 145,287.66, 200,416.02 and 135,012.67

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Solution

The fourth proportional to 145,287.66, 200,416.02 and 135,012.67 is: 186,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,287.66 : 200,416.02 = 135,012.67 : x
  2. Step 2: Convert to fraction form
    145,287.66/200,416.02 = 135,012.67/x
  3. Step 3: Cross multiply
    145,287.66x = 200,416.02 × 135,012.67
  4. Step 4: Simplify right side
    145,287.66x = 27,058,701,970.97
  5. Step 5: Solve for x
    x = 27,058,701,970.97/145,287.66
  6. Step 6: Final answer
    x = 186,242.26

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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.