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Finding the Fourth Proportional to 149,344.96, 224,017.44 and 86,971.72

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Solution

The fourth proportional to 149,344.96, 224,017.44 and 86,971.72 is: 130,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,344.96 : 224,017.44 = 86,971.72 : x
  2. Step 2: Convert to fraction form
    149,344.96/224,017.44 = 86,971.72/x
  3. Step 3: Cross multiply
    149,344.96x = 224,017.44 × 86,971.72
  4. Step 4: Simplify right side
    149,344.96x = 19,483,182,066.80
  5. Step 5: Solve for x
    x = 19,483,182,066.80/149,344.96
  6. Step 6: Final answer
    x = 130,457.58

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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.