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Finding the Fourth Proportional to 100,064.05, 138,089.48 and 54,741.06

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Solution

The fourth proportional to 100,064.05, 138,089.48 and 54,741.06 is: 75,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,064.05 : 138,089.48 = 54,741.06 : x
  2. Step 2: Convert to fraction form
    100,064.05/138,089.48 = 54,741.06/x
  3. Step 3: Cross multiply
    100,064.05x = 138,089.48 × 54,741.06
  4. Step 4: Simplify right side
    100,064.05x = 7,559,164,510.05
  5. Step 5: Solve for x
    x = 7,559,164,510.05/100,064.05
  6. Step 6: Final answer
    x = 75,543.26

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1.5x scale

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.