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Finding the Fourth Proportional to 253,988.68, 380,945.58 and 67,013.32

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Solution

The fourth proportional to 253,988.68, 380,945.58 and 67,013.32 is: 100,510.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,988.68 : 380,945.58 = 67,013.32 : x
  2. Step 2: Convert to fraction form
    253,988.68/380,945.58 = 67,013.32/x
  3. Step 3: Cross multiply
    253,988.68x = 380,945.58 × 67,013.32
  4. Step 4: Simplify right side
    253,988.68x = 25,528,428,055.13
  5. Step 5: Solve for x
    x = 25,528,428,055.13/253,988.68
  6. Step 6: Final answer
    x = 100,510.10

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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.