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Finding the Fourth Proportional to 138,457.68, 207,851.04 and 116,543.76

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Solution

The fourth proportional to 138,457.68, 207,851.04 and 116,543.76 is: 174,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457.68 : 207,851.04 = 116,543.76 : x
  2. Step 2: Convert to fraction form
    138,457.68/207,851.04 = 116,543.76/x
  3. Step 3: Cross multiply
    138,457.68x = 207,851.04 × 116,543.76
  4. Step 4: Simplify right side
    138,457.68x = 24,223,741,721.51
  5. Step 5: Solve for x
    x = 24,223,741,721.51/138,457.68
  6. Step 6: Final answer
    x = 174,954.12

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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.