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Finding the Fourth Proportional to 143,109.65, 214,762.90 and 49,615.40

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Solution

The fourth proportional to 143,109.65, 214,762.90 and 49,615.40 is: 74,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,109.65 : 214,762.90 = 49,615.40 : x
  2. Step 2: Convert to fraction form
    143,109.65/214,762.90 = 49,615.40/x
  3. Step 3: Cross multiply
    143,109.65x = 214,762.90 × 49,615.40
  4. Step 4: Simplify right side
    143,109.65x = 10,655,547,188.66
  5. Step 5: Solve for x
    x = 10,655,547,188.66/143,109.65
  6. Step 6: Final answer
    x = 74,457.22

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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.