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Finding the Fourth Proportional to 149,870.74, 206,581.40 and 101,457.40

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Solution

The fourth proportional to 149,870.74, 206,581.40 and 101,457.40 is: 139,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,870.74 : 206,581.40 = 101,457.40 : x
  2. Step 2: Convert to fraction form
    149,870.74/206,581.40 = 101,457.40/x
  3. Step 3: Cross multiply
    149,870.74x = 206,581.40 × 101,457.40
  4. Step 4: Simplify right side
    149,870.74x = 20,959,211,732.36
  5. Step 5: Solve for x
    x = 20,959,211,732.36/149,870.74
  6. Step 6: Final answer
    x = 139,848.59

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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.