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Finding the Fourth Proportional to 100,062.40, 138,089.40 and 57,041.12

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Solution

The fourth proportional to 100,062.40, 138,089.40 and 57,041.12 is: 78,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062.40 : 138,089.40 = 57,041.12 : x
  2. Step 2: Convert to fraction form
    100,062.40/138,089.40 = 57,041.12/x
  3. Step 3: Cross multiply
    100,062.40x = 138,089.40 × 57,041.12
  4. Step 4: Simplify right side
    100,062.40x = 7,876,774,036.13
  5. Step 5: Solve for x
    x = 7,876,774,036.13/100,062.40
  6. Step 6: Final answer
    x = 78,718.62

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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.